Product Rule Calculator: What It Calculates

Product Rule Calculator focuses on a specific mathematical operation or relationship. The output depends on the values, expression, and conventions used in the calculation.

The Formula or Method

The product rule is (uv)' = u'v + uv'.

Sanity check

Estimate the size and sign of the answer before accepting the displayed result. A quick mental check can catch an incorrect input or copied expression.

Using Product Rule Calculator

Enter the required numbers or mathematical expression carefully. For formulas involving multiple variables, keep parentheses and signs exactly as intended.

1. Identify the variables or values used by the formula.
2. Enter them with the correct signs and order.
3. Calculate the result.
4. Substitute the answer back into the relationship when a verification is practical.

Worked Example

For y=x²sin x, y' = 2x sin x + x² cos x.

Checking the Result

Rounding can slightly change the displayed answer, especially with irrational numbers, logarithms, numerical integration, or repeated operations. Use additional precision when the final result requires it.