SOLUTION: find the derivative of the following function: y=(2x-3)(x^3 -2)^1/3

Algebra ->  Functions -> SOLUTION: find the derivative of the following function: y=(2x-3)(x^3 -2)^1/3      Log On


   



Question 1122715: find the derivative of the following function:
y=(2x-3)(x^3 -2)^1/3

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is (2x-3)*(1/3)(x^3-2)^(-2/3)*3x^2 + (x^3-2)^(1/3)*2x, using the chain rule
=x^2(2x-3)/(x^3-2)^(2/3) + 2x(x^3-2)^(1/3). There are other ways to rewrite this.