(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

y = 3*cube root 3√(x^{2}-1)

2. Relevant equations

Udu/dx + Vdv/dx (wrong as per below)

Chain Rule now used

3. The attempt at a solution

I have:

Now y = 3*(x^{2}-1)^1/3

let z=x^{2}-1 y= 3(z)^1/3

dz/dx = 2x dy/dz = z^-2/3 = (x^{2}-1)^-2/3

all = dy/dx = dz/dx * dy/dz = 2x*(x^{2}-1)^-2/3 = 2x/(x^{2}-1)^2/3

Instead I have an answer in my book:

dy/dx = 3*1/3(x^{2}-1)^-2/3

which in the end = (x^{2}-1)^-2/3

I believe my answer is correct and it is a typing mistake, but I am not 100% sure.

Thank you for any help in advance.

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# Homework Help: Differentiate with respect to x

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