Derivatives of Logarithmic Functions

[rell298]

how wuld you solve f(x)= 3x^2-6x+7 by using the definition of the derivative?

[4znDude]

I used to make stupid arrow in the knee jokes than I took a derivative of a log to the head.

[joychelsey]

Thank you so much. I would fail calculus if it weren't for you because all of my teachers have been horrible!!!!! You're a grade and life saver!

[AznS0ulja]

what happens if your base is 10? so the question is log(x^2).. i did (1/x^2*ln10)*2x, so MY answer is 2/xln10. the answer at the back is 2/xLOG10, not "ln10"(my answer) - please help :(

[djumr]

its funny whenever i am about to watch one of your videos i click on the link give it a thumbs up and then watch ...to date I have never regretted it :D

[patrickJMT]

@djumr : ) thanks!

[xXxLunarionxXx]

4:15 - What kind of a Sorcery is this?

[maillouxlp18]

Well I've been watching your videos non-stop for about 14 hours.... have my final in an hour and a half. I feel a lot more confident after watching your videos, thanks so much for taking your time to make these. You are helping so many students far beyond what you can even imagine. Thank you so much!

[Gage0871]

Thank you so much your videos are awesome!!! They have helped me a ton in my online dual credit calulus class :D

[tomasito89]

thanks dude i got a 100 on my test wooooho with out your help i will be failing my class

[Jovanny8Soccer]

Patrick! man do you make finals less stressful!. Every time i want have troubles in calculus i go only to your videos, im recommending them to my friends and so far they like them as well.

[patrickJMT]

@Jovanny8Soccer thanks for recommending them, best thing you can do for me! : )

[fly2deaf]

Your my hero

[ren2293]

"so I've got a natural logarithm of 4 that's gonna be down there hangin out" lol, best description of mathematical processes ever!

[francodagelet]

im glad youtube gave you a partnership, you deserve it :P

[iheart50freestyle]

thanks you're a lifesaver!!

[AnastasiafyMe]

i have a test tomorrow in AP calc and this helped a lot. thank you so muchhh

[hockeymurph34]

Thank you! I'm in AP Calc, and I've never needed help with math before, but I got tutor this year because I got a C- first quarter. My teacher moves SO fast through the material, it's insane (in my opinion). I think all the kids around me have taken summer math classes or something because they rarely have questions. We're on chapter 5 now, but I just figured out chapter 4! WTF?! (I got another C- on the previous chapter's test.)

Anyways, these videos have helped a lot.

[GSG082292]

@prestonubc22 watch his exponential derivatives video

[brummingbird]

everytime i miss class, i come to youtube to watch your videos about whatever i missed. thanks so much!

[prestonubc22]

what about 10^x ln(x)

[lawtzelap]

Seriously awesome vids patrickJMT seriously thank you!



[gblackbird]

thanks a lot ! greeting from ankara - turkey

[jownzyu]

"take the derivative of the stuff, and multiply it by the stuff." makes much more sense than formal math language from the text! at least for me. LOL

[MrDCowboys621]

why do you have to restrict the domain when calculating the derivatives? It says here that x>0 and x cant equal 1 when taking the derivative of log x base a. please help me i cant figure it out

[Alive4Metal]

omg, thank you SOOO MUCH, I was SOOOO lost in class today when my professor tried to explain this, took him like an hour to do so and I didnt understand, took you only a couple of seconds to get the message through and make me grasp the intuition

[spencerpare]

nice vid bro



[nguyennguyen1010]

4 math teachers disliked this =))

[ian559fresno]

@nguyennguyen1010 he doesn't like it when you make fun of teachers because he was a teacher so let's try to be respectful.

[patrickJMT]

@ian559fresno i do not care for it when anyone generalizes a group of people. it is why we have racism, religious and political intolerance

[ian559fresno]

@patrickJMT yeah unfortunately thats true.

[KiyoshiStarX]

I love you

[neenie87]

I love you.

[sarazuu]

could you do these videos but without using the natural logarithm because some students have learned about logarithms but not natural.

[susanhong99]

thank u =]

[hannahmuffy]

Could you explain the derivative of e^(ln x)1/2

[kisan1980]

dude i love how easy you make all this seem, be my ap calc teacher please?

[crieman123454321]

Hey, thanks Jesus.



[lowroller94]

How can you get a thumbs down for this video!?!? You do a great job explaining... Thank you for the help!!!

[AceAites]

You seriously have a talent for explaining. I know you don't like being called a genius, but your skills at explaining, especially in front of a camera, are godly.

[patrickJMT]

@AceAites thanks the kind words : )

[lebgang]

@patrickJMT i love you man,,, u help me pass my TEST ALWAYs

thanks alot , keep up the good work. people like you change the world.

[jeannynel]

Ok, Once again, the last exaple on this video is confusing e. Shouldn't we take the Derivative of the inside function of the logarith one more time? The property says to take the derivative of the function.....which is where you got the last e^X, but then the chain rule tells us to take the derivative of it again, which would be one more e^X....right? So many rules and laws its hard not to break any of them....

:)

[jeannynel]

Hi, I am confused on the example where you tell us to use the properties of logarithms to simplify first. At 5:02 in the video, whenever you get the 3 as part of the derivative, why doesn't that end up being zero? Isn't it a product of 3 multiplied by the logarithmic function? 3 X Ln(2x+1).....Derivative of 3 = 0??? Or am I thinking of entirely incorrectly??? Thanks a lot for all of the help though!

[patrickJMT]

@jeannynel you can use the product rule, try it out and see what happens

[ExPlr3]

thank u sir.... i hope this would help me much...... my professor use the other properties..... log a u = M(du/dx)/u ..... what can u say sir...

[shortbusrocks46]

Thank you, you allow me to use my ap math class as a study hall and just watch these videos before every test... I'm a fast learner and makes my slow class go by like a breeze!! :D

[seporokey]

I love how you just call it "complicated stuff." helps me remember what to do easier for some reason.

[715chrisg]

Thank u very helpful

[deathencasedimmortal]

heres one example i cant find anywhere and i suck at math...LN base x of 5 = 10...cant find an example anywhere on the internet where x is the base....all i can find is examples like this...LN base 5 of x = 10...but no one talks about if x is the base like in my first example..

[OfficialCarylShayne]

If there's JMT University in the world and cyberspace is our own classroom, there will be no distraction because of the bitches around the school. We're also capable of bringing the best on ourselves.

[bigkountry1991]

thank you sir. even though the teacher explains it in class its jus easier for some reason for you to explain it

[captcalvin]

Please come teach at SFU (in Canada)!

[Xeon1791]

Love all ur videos! keep up the good work!

love from kuwait :D

[tylerj26]

i luv u

[bebiih]

Love all ur videos! keep up the good work!

love from Norway!:D

[MOEMEDI100]

you the best man.

[AutumnInsane123]

thanks!!last minute

[71nilufar]

I didn't underestand anything when my teacher explained but you are perfect

[minakatani]

I have a quiz on this today...you really helped me out :)

[thewavebeam]

like if you wish this guy was your math teacher/professor 

[vvbn7890]

Great video. Thank you

[walkerwiggins0]

if you dislike this video, you should probably get out of calculus counting on you don't understand one of the easiest explanations of calculus there is. go back to algebra douche bags

[dajakesta1234]

can any1 tell me y didnt the derivative of e^x+1=x(e)^x-1?

[neutral999]

@dajakesta1234 I am pretty sure that e^x + 1 = e^x

Because see, when you take the derivative, the power 'x' comes down and you gotta take the derivative of that as well. so it would be x . e^x = (1)(e^x)

[FongTactical]

You sir should receive the person of the year award for all these videos you have made, very helpful.

[TheTheKingOfCrash7]

Ive never seen a male math teacher with good handwriting... until today.

[missypunkrocker]

@TheTheKingOfCrash7 My O level math teacher's one was quite neat... my tutor's one was h-o-r-r-i-b-l-e.

[patrickJMT]

@tink4604 glad you like my explanations

[no12thward]

wish there was a site where we could download PDF format of your notes

[no12thward]

Man you are great! Much clearer than my college Calculus teacher who I pay money to learn ABSOLUTELY NOTHING from! You cut out all the BS and fancy lingo and just explain it where it can be easily understood. AT this moment, YOU ARE SECOND NEXT TO GOD! THANK YOU!!!!!

[michaelschnikel]

You're my hero.

[mrnguyenasia]

God bless you.

[mrnguyenasia]

Thanks man. I love your videos, those r really helpful. U r like my first choice math teacher.

[TheFYEX]

omg u r a lifesaver,

[gangvn123]

patrick, you're my hero .

[prodmyidol]

Final exam in 12 and a half hours. JMT Cram is the best kind of Cram.

[hunnybear20]

@prodmyidol so I'm not the only one that crams stuff lol

[SpooonyNinja]

my calculus final will be dedicated to you next week sir~

You are awesome!

[dudecoolname]

How did people pass Calculus I before patrickJMT?

[TVwatcha01]

Thank you very much. I am horrendous at math, and I really struggle with it, and I know I'll have to retake calc in the future, and further math courses for a degree in a biological science ( thankfully much less than chem or physics). But you've really helped me along, despite me being depressed about myself and my abilities, and as shortsighted and meaningless as it may seem from a random 18 year old kid off of youtube, I would like to thank you tremendously for all your guidance and work.

[patrickJMT]

@TVwatcha01 no problemo. math is hard for most people; i think especially people going from high school to college grossly underestimate how time consuming and challenging it is (i did)

[TVwatcha01]

@patrickJMT: Probably. Also I think part of the equation is it is hard to teach math, and to be a good math teacher, so teachers in the subject are hard to come by (plus if you factor in many of the capable teachers might teach applied math like engineering or physics). I'm a senior in highschool, and my calc teacher is the first great math teacher I've had since 9th grade algebra.

[GodfatherSmurf]

@TVwatcha01 That is how I feel right now, though i'm annoyied that i only learned about these videos in my second semester of calculus...

[pinesolparrot]

keep it up love this ishhh

[15secondsfull]

you are the only reason I'm currently passing my calculus course...

thank you so much, i really appreciate all the help I'm getting from your videos!

You have a good way of explaining things

[aniggnigg]

wow ur amazing love how u break everything down so simply... thank you and plz keep making these videos ....

[zoom2121]

how can anybody dislike this video,

[purplepick1]

this is actually very very helpful.

[ballanunoit]

You are about to save my calculous grade!!. Thank you so much!

[Bananomon]

thank you sir

[Phillip101111]

You take the stress away. My teacher needs to take a few pointers from you.

[manutube8080]

THank you so much

[asheswild]

you are a life saver

[sanda2430]

Thanks so much for this...i was so worried i wasnt gonna get it but i did!!

[bowke28]

In your log example at the end, can you add LN to both sides before proceeding instead of using chain rule?

[92Simha]

u saved my life man! :) thnx

[shennessey23]

You are a fanastic teacher! Whenever I am struggling with a new concept, I know that I can always turn to your videos for guidance and confidence. Thank you for all your hard work putting these vids together. I know I am speaking for many others when I say " thanks for saving my ass!!!"

[tiofilo75]

You are freaking awesome. So much easier to understand, thank you so much.

[aleniverson07]

could you use the chain rule to find the derivatives of logarithms?

[ceciliasmile]

Love ur videoes, they made me understand cal easily and ur nice voice: )

[djwildstyle2004]

hey thanks alot dude

[FatalKaos]

@djwildstyle2004 thank you

[llmm007]

i loveee u!!!!!!!

[pandaumk3]

You, sir, are awesome. Thank you :)

I like the one before the last one, pretty tough.

[DjGalm]

*starts to cry*... but my exam was just last wednesday T_T... THANKS FOR YOUR VIDEOS! THIS WILL HELP ME A LOT IN MY FINAL!!! last math course in my life!