Find the derivative: f(x)=1/cubed root(3-x^3)

Question

A. -1/3(3-x^3)^4/3
B. x^2/(3-x^3)^4/3
C. -x^2/(3-x^3)^2/3
D. -x^2/(3-x^3)^4/3
E. None of these

Answer 1

y = (3 -x^3)-(1/3)

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

= + x^2 /(3-x^3)^(2/3)

E

Answer 2

Hmmm. -1/3 - 1 = -4/3

I get (B)

Answer 3

My arithmetic was wrong, go with Steve !