Question

fill in the blanks in the following sentence with the words derivative or antiderivative. if f(x)=f(x), then f is __ of f and f is __ of f. if f(x)=f(x), then f is of f and f is of f.

Explanation:

The derivative of a function $F(x)$ is denoted as $F'(x)$. If $F'(x)=f(x)$, then by definition, $f$ is the derivative of $F$. And $F$ is an antiderivative of $f$ because when we take the derivative of $F$ we get $f$.

Answer:

f is the derivative of F and F is an antiderivative of f.