# Power Rule Calculator (for Differentiation)

**How to Enter in the Function**

Enter x^6 = x^{6}

Enter 7x^2 = 7x^{2}

Enter y^8= y^{8}

This power rule calculator differentiates the function which a user enters in based on the calculus power rule.

The power rule is calculated is illustrated by the formula above.

We will repeat the formula again. It is x^{n}= nx^{n-1}.

Thus we take the exponent of the base and multiply it by the coefficient in front of the base. We then subtract one from the exponent.

Examples of the power rule in effect are shown below:

x^{6}= 6x^{5}

x^{8}= 8x^{7}

x^{3}= 3x^{2}

x^{8}= 8x^{7}

If there is a coefficient in front of the base, then this coefficient gets multiplied by the value of the exponent.
Thus if we have n_{1}x^{n2}= n_{1}n_{2}x^{n2-1}.

Examples of this include:

7x^{8}= 56x^{7}

10x^{6}= 60x^{5}

5x^{9}= 45x^{8}

3x^{4}= 12x^{3}

To use this calculator, enter in the function. If there is no coefficient in front of the base, just enter the base ^ the exponent, such as x^7. If there is a coefficient, simply just enter the coefficient, such as 10x^7. Do not put any multiplication sign in the function. Then just click the 'Differentiate' button and the derivative will be computed and displayed below.

The power rule is just one of many differentiation rules to solve for the derivative of a function. Finding the derivative of functions is crucial to solving many different
types of math problems. Many electronics problems utilize differentiation to solve for unknowns, including many electromagnetics problems.

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