# Jorge Valle

Jorge Valle is a front end developer with a particular passion for, and expertise in, JavaScript and user interfaces. Lately, he's also been diving into machine learning.

# The power rule in differential calculus

## The power rule

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.