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Power Rule Derivative at a Point

Calculate derivative using the power rule derivative at a point formula.

Derivative: -

Power Rule Derivative at a Point diagram

The diagram updates with your entries and is illustrative, not necessarily drawn to scale.

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Reference: Formulae and Tables, State Examinations Commission (2014), page 26.

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How the Power Rule Derivative at a Point works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 26. Enter values in consistent units.

Formula and inputs

coefficient × power × Math.pow(x,power-1)

Inputs: Coefficient, Power n, x value.

Using the result

The result is rounded to 4 decimal places. Check units, assumptions and significant figures before using the answer.