Question

Differentiate the function. F(x)=ln rad x. I switched it to ln x^(1/2) since I'm not good with radicals

Answer 1

thats a good start, heard of chain rule before ?

Answer 2

https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/chain-rule-introduction

Answer 3

yup is that what needs to be done for x^(1/2)? In my book it says the answer is F'(x)=1/(2x) but I have no idea how they got that

Answer 4

Yeah you can avoid chain rule for now by using log properties

Answer 5

\[\large \rm F(x) = \ln \sqrt{x} = \ln x^{1/2} = \dfrac{1}{2} \ln x\]

Answer 6

Now differentiate

Answer 7

ok I got it thank you :)

Answer 8

yw:)