Answer to Question #347302 in Calculus for Stella

Question

Find the rate of change of the function f(x)= x^3 with respect to x at x0.

Answer 1

$$f'(x)=(x^3)'=3x^2$$

The rate of change of the function $f(x)= x^3$ with respect to $x$ at $x_0$ is $3x_0^2.$