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`