Logarithmic Differentiation - Example 2

Logarithmic Differentiation - Example 2.
Another example using logarithmic differentiation. For more free math videos, visit http://PatrickJMT.com

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Education

Tags:

• math
• calculus
• logarithmic
• differentiation
• example
• logs
• ln
• derivative
• justmathtutoring.com
• how

[iiottoii]

I can't find any video of integration with logarithms, could you do one please? :)

[patrickJMT]

@iiottoii look at ' integration by parts ' examples

[Jonathanws18]

I find it odd that after my calculus class in COLLEGE, I still get more help from you.

THANK YOU, from the bottom of my textbook.

[patrickJMT]

@Jonathanws18 ha, no prob : )

[keitsumi]

Thank you so much. This is going to help me a lot on my tomorrow's test. :D

[adamel313]

LOL!!! That's What She Said @ 4:33

[OhHiMeMatt]

God bless your soul :)

[LoganBlackP]

@Jonathanws18 That $400 textbook they told you had to buy but ended up only opening it up once that semester?

[simp12522]

Ok, on the earlier video of log differentiation, you said variavle raised to a variable is a good indicator that you use this method. Would you say if there is a lot of functions together is when you use this. It looks like you could do this without using log diff, but you would have to do chain rule and power rule a whole lot

[dpetrosiann]

honestly calc textbooks r so vague and not clear, its like they assume u already know calculus which destroys the whole point.... Professors are even worse, they assume u mastered implicit differentiation on day one of starting the topic, WTFFFFF. U on the other hand are god, i watch your videos once, maybe twice and i just get ittt.

[deadprisoner18]

nvm im an idiot lol

[deadprisoner18]

how come the derivative of sinx is cosx, and in other videos its -cosx

[LeeRyuuji]

@ac7491 it would be the same because of the logarithmic properties. It is understood that ln(something) + ln(another) terms are on the numerator and anything with - ln(anything) is on the denominator because of what the properties of logarithm states. Thus, extra ( ) is not necessarily needed.

[ac7491]

@patrickJMT I think that you made a mistake in your use of the natural log properties. you got ln(sinx)^2 +ln(x^3+1)^4 -ln(x+3)^8. Wouldn't it be (ln(sinx)^2 +ln(x^3+1)^4) -ln(x+3)^8? because the numerator is a quantity of 2 terms and the denominator is 1 term and you would only split up the numerator AFTETR you split up the denominator? wouldn't the extra set of parenthesis around the split up terms of the original numerator be necessary because of algebra rules?