Question

Find the derivative: Y=x^3(5x^2+1)^-2/3

Answer 1

help me plzzz

Answer 2

the answer is 1/3x^2(5x^2+1)^-5/3(25x^2+9) BUT HOW?

Answer 3

3x^2(5x^2+1)^-2/3 + -2/3(5x^2+1)^-5/3(10x)x^3

Answer 4

not sure what you did there. did you use chain rule first somehow? my first step was using the product rule.

Answer 5

Use the product rule

u = x^3 u' = 3x^2

v = (5x^2+1)^-2/3 v' = -20x / 3(5x^2+1)^3
= 1/3(5x^2+1)^2