Inverse Trigonometric Functions - Derivatives - Example 2

[randomlyunknown2012]

ur hand writing is so godly. i wish i could do math in that handwriting.

[ANILTHEGAME]

~WOW~

[ryu921022]

hey Patrick, i would like you to make a video that shows how to get the derivative of abosolute value of x.

[silverflame92]

so if we wudve canceled the x's in the end...would the derivative have been just tan^-1(x) ? since we got 1/(1+x^2)....thats is the derivative of tan^-1(x) right?

[decadecadeca123]

Sleeves.

[2010SmiLe51]

Thanks a lot man!

I am now confident to take my exams :)

please do continue to post vids like these.

It REALLY helps alot :D

[TreacleMary]

Could you not cancel out x and mod(x) to leave mod(1/(1+x^2)) ?

[stanley1212]

third line down you said under the square root that the power 1/2 times the power 2 just makes nothing. whats up with that?

[hurmpfff]

what is this math used for? rocket science?

[nickinator5423]

i'm not even in calc...and i found this helpful :)

[zoom2121]

can you please do this question sir

y=xsin^-1x+sqroot(1-x^2)

I'm struggling with this one,btw your videos are a life saver for me

I really appreaciate it

[christeeezy]

wouldn't the sq root of x^2 be x^2? how is |x| relevant?

[whitneyroselmond]

@christeeezy the square root of x^2 is x not x^2. For example if x=2, x^2=4 and the square root of x^2= the square root of 4 =+2 or -2 = |x|. Note that we used |x| and not just x. That's because x was 2 from our example & the square root of x^2 = 2 & -2 which can be represented as |2|.

[fluffstars]

Thank you for the video, it helps a lot. :)

just one question:

why do we need |x| ??

[xxcoldsteelexx]

in the secant problem, can u also get common denoms before you put the 1/2 exponent into a 1? This would give you the same thing there, but give u a x^2 in the denominator instead of |x| and your top would have the |x| there instead as a consquence. does this work also?

[dmonnin]

you da man

[josuanette]

thank you so much you are a big help to us !!!

[joe00776]

Why do you need to do that complex.

just sustitute x=tan of t, you get sec^1root of 1+tan of t^2

ie,.sec^sec t

ie,simply t, ie tan^x

we know derivative of tan^x is 1/1+x^2 and thats the answer. So easy...i cud answer in sec..

[aristotleschild]

@patrickJMT

Correct me if I'm wrong, but I believe the internal function (next to the radical) in the denominator should have absolute value bars. Right?

d/dx[arcsec(x)] = 1/ [ |x| * (x^2-1)^1/2 ]

If I'm wrong I really need to know! Just learning this stuff! =)

[RASHTG]

Too EZ....

[lannz73]

nice

[jamespb20]

Wow!!

[bhenedick]

what will be the difference if I will not use the absolute value at the latter part?

[AvZUnderground]

plz do an example without using the table of derivatives..

[patrickJMT]

without using the table?

not sure what you mean...

do you mean using the definition of derivative?

if so, i have vids on that

[AvZUnderground]

actually i ment table of standard integrals..sori..

[cosmoHBK]

where is dx?

[cosmoHBK]

Where is dx?

[anatamez12]

∫arccosx

[tharimaoo6]

Im a lefty and no one could ever guess that. Its normal for me ;D

[Brightwind]

you're video's very helpful- but just a random to ask~ does it ever get annoying to be left handed and writing on a whiteboard? I end up erasing most of what I write with my hand when I'm working with a whiteboard :X

[patrickJMT]

i have become a seasoned pro : )

[oftendespised]

you are awesome!!!!!!!!!!

[penkalli]

Thanks, just to point out that this is the same video as the 1example video

[philmore64]

Thanks Patrick! You've really helped me out alot this year in my Calc I class. You make alot more sense than my teacher, lol!

[jachina]

thank you for the video, p-diddy lol

[patrickJMT]

my pleasure!

[ANILTHEGAME]

@patrickJMT awesome

[Waranle]

Thank you

[patrickJMT]

no problem!