Question

Write two different explanations of the relationship between the expressions 4x^3 and x^4, one using the word derivative and the other using the word antiderivative. Then give an example of a pair of expressions that have the same relationship. If necessary, use the carat ^ for powers, such as x^5 for "x to the fifth power" or x^3 for "x to the third power."

Answer 1

$4x^3$ is the derivative of $x^4$.
$x^4$ is the antiderivative of $4x^3$.

Example pair:
$2x^3$ and $6x^2$