Power Rule Calculator (for Differentiation)

Differentiation Power rule formula

How to Enter in the Function
Enter x^6 = x6
Enter 7x^2 = 7x2
Enter y^8= y8

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 xn= nxn-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:

x6= 6x5
x8= 8x7
x3= 3x2
x8= 8x7

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 n1xn2= n1n2xn2-1.

Examples of this include:

7x8= 56x7
10x6= 60x5
5x9= 45x8
3x4= 12x3

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.

Related Resources

Capacitor Impedance Calculator

Capacitive Reactance

How to Calculate the Current Through a Capacitor

How to Calculate the Voltage Across a Capacitor