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

Derivatives Rules Power Rule d dx (xa) = a · xa − 1 Derivative of a constant d dx (a) = 0 Sum Difference Rule (f ± g) ′ = f′ ± g′

Below is a list of all the derivative rules we went over in class.

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.

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 …

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