Question

Derivative of 8-x^3, Step by step please.

Answer 1

use the power rule. x^n = nx^n-1 and the constant rule which is derivative of k (constant) = 0

so you have a constant and a power
apply the constant rule to 8, it will become zero

apply the power rule to -x^3, it will become -3x^(3-1)

so the derivative of -x^3 = -3x^2

combine them

0 -3x^2

the derivative = -3x^2