The Derivative tells us the slope of a function at any point. There are rules we can follow to find many derivatives.

This article is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus.

Just as when we work with functions, there are rules that make it easier to find derivatives of functions that we add, subtract, or multiply by a constant. These rules are summarized in the following theorem.

Derivative rules (differentiation rules) make the process of finding derivatives much easier. Learn the derivative rules along with their proofs along with examples.

In these lessons, we will learn the basic rules of derivatives (differentiation rules) as well as the derivative rules for Exponential Functions, Logarithmic Functions, Trigonometric Functions, and …

See how we define the derivative using limits, and learn to find derivatives quickly with the very useful power, product, and quotient rules.

The derivative of a function is the ratio of the difference of function value f (x) at points x+Δx and x with Δx, when Δx is infinitesimally small. The derivative is the function slope or slope of the tangent line at …

Differentiation rules are formulae that allow us to find the derivatives of functions quickly. Taking derivatives of functions follows several basic rules: multiplication by a constant: ...

Nov 1, 2025 · Some functions can be differentiated directly, but in certain cases, we use the rules of derivatives to find the derivative of a function. These rules of derivatives help us to solve the problem …

List of the basic rules of differentiation with examples.