Question

what is the derivative of f(x) = ln(x^2 +10)?

Answer 1

do you recall the derivative of ln(x) ?

Answer 2

1/x

Answer 3

thats right :) but more proper its

Dx[ln(x)] = \(\frac{dx}{x}\)

Answer 4

Dx[ln(x^2+10)] is the same fashion; put the innards to the bottom and their derivative up top

Dx(x^2+10) 2x
----------- = --------
(x^2+10) (x^2+10)

Answer 5

it applying the "chain rule"

Answer 6

thank you.

Answer 7

yep :)