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′

To find derivatives of polynomials and rational functions efficiently without resorting to the limit definition of the derivative, we must first develop formulas for differentiating these basic functions.

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

Learn how we define the derivative using limits. Learn about a bunch of very useful rules (like the power, product, and quotient rules) that help us find derivatives quickly.

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 …

Nov 1, 2025 · Derivative Rules are a set of rules that need to be followed while differentiating different functions. Differentiation is a method used to determine how one quantity changes with respect to …

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 …

definition of the derivative to find the first short-cut rules. Students learn how to find derivatives of constants, linear functions, sums, differences, sines, cosines and basic exponential functions.

Some of the common rules are listed below. Differentiation techniques are the methods and rules used to find the derivative of a function. These techniques simplify the process of finding derivatives, …