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.

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, …

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 …

Differentiation techniques are the methods and rules used to find the derivative of a function. These techniques simplify the process of finding derivatives, especially for complex functions.

Let's explore a problem involving two functions, f and g, and their derivatives at specific points. Our goal is to find the derivative of a new function, h (x), which is a combination of these …

1 If a function is differentiable, then its derivative exists. Evaluate the functions in the definition of the derivative.

Comprehensive introduction to derivative definition, one-sided derivatives, differentiability and continuity, and basic differentiation rules.