Evaluate Product Rule

Differentiate the first factor while keeping the second, then add the second derivative term.

Formula: (uv)′ = u′v + uv′

Calculus results depend on the function and the conditions around it. A limit, derivative, or integral should therefore be read together with its point or bounds.

The stated formula is a compact audit of what the calculator is evaluating, which makes it easier to check the output independently.