Question

calculus question:

Answer 1

I don't know how to find the derivative.

Answer 2

1/3(8-t^8)^-1/3?

Answer 3

I don't know.

Answer 4

It'd be helpful if you'd please label this. Do you mean f(x) = Cuberoot(8 - t^8)?
Why the (-) sign in the exponent?
That 1/3 does not adequately indicate that you're looking for the cube root. I'd suggest sticking to spelling out the word (Cuberoot) or drawing it (as you've already done).

Answer 5

is this your question?
\[\large \sqrt[3]{8-t^{8}} = (8-t^{8})^\frac{ 1 }{ 3}\]

Answer 6

yes!

Answer 7

From there use the product and chain rule then :)

Answer 8

the power* and chain rule*

Answer 9

watermelon: You've got this partially correct, but have neglected to find the derivative of (8 - t^8) as required by the chain rule.