The power rule is very simple and easy to remember. It dictates how to differentiate functions of the form $ f(x) = x^n $ .

Here's a simple example.

What happens if there is a coefficient present? The same pattern is retained. We apply the power rule to the variable term, and then multiply by the coefficient.

The rule is also applicable for negative powers.

Differentiating a polynomial

We can use the power rule when differentiating polynomials as well. We apply the rule to each term individually, and keep the same structure.