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
Algebra: Functions, Domain, NOT graphing
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Functions
Question 1122715
:
find the derivative of the following function:
y=(2x-3)(x^3 -2)^1/3
Answer by
Boreal(15235)
(
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.