Derivative Calculator

The derivative measures the instantaneous rate of change of a function. Formula: f′(x) = lim(h→0)[f(x+h)−f(x)] ÷ h

Calculate a Derivative

The derivative measures the instantaneous rate of change of a function.

Formula: f′(x) = lim(h→0)[f(x+h)−f(x)] ÷ h

Write the inputs in the form required by the formula and check the result with a small reference case. For equations and statistics, make sure the selected convention matches the problem you are solving.

Substitute the same inputs into the displayed formula and compare the calculated value with the result shown by the tool.

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Frequently Asked Questions FAQ

What does Derivative Calculator calculate?

The derivative measures the instantaneous rate of change of a function.

What is the formula for Derivative Calculator?

The formula used by the calculator is: f′(x) = lim(h→0)[f(x+h)−f(x)] ÷ h

What inputs does Derivative Calculator need?

Enter the function and variable with respect to which the derivative should be taken.

How can I verify the Derivative Calculator result?

Substitute the same inputs into the displayed formula and compare the calculated value with the result shown by the tool.

How should I round the Derivative Calculator result?

Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

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