Q. 1 TB - Calculus

Question

If $g\text{'}\left(x\right)=h\left(x\right),$then is g an antiderivative of h or is h an antiderivative of g?

Step-by-Step Solution

Answer

If $g\text{'}\left(x\right)=h\left(x\right),$then g is an antiderivative of h.

Step 1. Given information.

The given equation is $g\text{'}\left(x\right)=h\left(x\right)$.

Step 2. Explanation.

If $g\text{'}\left(x\right)=h\left(x\right)$ then integral of $h\left(x\right)$will give $g\left(x\right)$which is the antiderivative of $h\left(x\right).$

so $g\left(x\right)$is the antiderivative of $h\left(x\right).$