y = (6x4 - 5x + 2)3/8

Question

I Don't understand the concept to use to answer this question.

Answer 1

Hey Dion! If you're trying to find the derivative of this function, we can definitely do that.

It looks like the function you're trying to derive is y = (6x⁴-5x+2)^3/8

In order to solve this one, we'll use a combination of power rule and chain rule.

1. power rule and chain rule: y' = (3/8)(6x⁴-5x+2)^{3/8 - 1} * (6x⁴-5x+2)'
2. finishing up chain rule: y' = (3/8)(6x⁴-5x+2)^-5/8(4*6x³-5+0)
3. simplifying (no calculus needed): y' = (3/8)(6x⁴-5x+2)^-5/8(24x³-5)

Hope this helps!