Find the derivative of f(x)=[lnx]^4

2 answers

let z = ln x
dz = dx/x
dx = x dz
then
f(z) = z^4
df = 4 z^3 dz = 4 z^3 dx/x
df/dx = (4 /x) (ln x)^3
Thank you! I've been stuck on that problem all night.
Similar Questions
  1. 1.) Find the derivative of tan (sec x).2.) Find the derivative if 1/x in four ways, using the limit process, power rule,
    1. answers icon 1 answer
    1. answers icon 1 answer
    1. answers icon 1 answer
    1. answers icon 2 answers
more similar questions