Question

f(x) ln|x^2-11|
Differentiate. (derivatives of logarithmic functions)

Answer 1

\[f'(x)=\frac{ 1 }{ x ^{2}-11 }2x\]

Answer 2

=(2 x)/(-11+x^2)

Answer 3

sorry guys there was a typo. not eleven but 1.

Answer 4

can u show me the steps?

Answer 5

do you know the chain rule ?

Answer 6

yeah

Answer 7

what it says ?

Answer 8

are u asking what the chain rule is? not sure what you mean ...

Answer 9

chain rule in differentiation

Answer 10

if we want to differentiate a function (say f(x)),
in your case it is f(x)= ln|x^2-11|.
What will be the first step ?

Answer 11

i actually don't have the chain rule quite down. could you show me? also its number one instead of eleven. it was a typo

Answer 12

let f(x)= ln|g(x)|
what did you get differentiating this

Answer 13

2x?

Answer 14

nopes. f'(x)={1/g(x)} g'(x)
put g(x)= x^2-1

Answer 15

then what will be the g'(x) ?

Answer 16

1/2x * 2x

Answer 17

wouldn't g'x just be 2x because x^2 = 2x and -1 = 0?

Answer 18

right

Answer 19

but our f'(x) is
\[f(x)=\frac{ 1 }{ g(x) }g'(x)\]

Answer 20

@sohrinny Do you still need help or are you clear on what is to be done?

Answer 21

no i still need help