Asked by ASB

Find the derivative of h(x)=7lnx^4

h'(x)=???
Answered by ASB
is it 24x^3/x^4??
Answered by ASB
I mean 28x^3/x^4
Answered by Damon
let z = x^4 so dz/dx = 4 x^3
then
y = 7 ln z
dy/dz = 7/z
dy/dx = dy/dz dx/dx = (7/z)(4 x^3)
= 28 (x^3/x^4)
= 28/x
Answered by Damon
Calculus I mean.
Answered by Steve
you could also notice that

ln(x^4) = 4 lnx
so,

y = 7*4 lnx = 28 lnx
dy/dx = 28/x
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