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

At each point, the derivative is the slope of a line that is tangent to the curve at that point. Note: the derivative at point A is positive where green and dash–dot, negative where red and dashed, and 0 …

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 …

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.

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

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′

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

Use the product rule for finding the derivative of a product of functions. Use the quotient rule for finding the derivative of a quotient of functions. Extend the power rule to functions with negative exponents. …

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 …

List of the basic rules of differentiation with examples.