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Calculus

Diagram of the maximum point of a function

Maximum Point of a Function – Formulas and Examples

The maximum point of a function is found using the derivative of the function. At the maximum point, the slope … Read more

Categories Calculus
Diagram of the equation of the normal to a curve in a point P

Tangent line and normal line to a curve – Formulas and examples

The tangent line to a curve is found using the form y=mx+b, where m is the slope of the line … Read more

Categories Calculus
Formulas for the derivative and integral of exponential

Derivatives and Integrals of Exponential Functions

The function y=ex is called the exponential function. The derivative of the exponential function ex is equal to ex. This … Read more

Categories Calculus
Formulas for the derivatives of inverse sine and cosine

Derivatives of Inverse Trigonometric Functions

Inverse trigonometric functions are functions that “reverse” the effect caused by the original trigonometric function. The derivatives of these functions … Read more

Categories Calculus
Integrals of trigonometric functions

Integrals of Trigonometric Functions with Examples

Integrals of trigonometric functions are other trigonometric functions. For example, the integral of the cosine function is equal to the … Read more

Categories Calculus
Derivatives of trigonometric functions

Derivatives of Trigonometric Functions with Examples

The derivatives of trigonometric functions are other trigonometric functions. For example, the derivative of the sine function is equal to … Read more

Categories Calculus
Rate of change with derivatives

Rate of Change with Derivatives – Examples and Practice

Rate of change exercises are solved by finding the derivative of an equation with respect to the main variable. Generally, … Read more

Categories Calculus
Examples of parametric equations

Differentiation of parametric equations with Examples

The derivatives of parametric equations are found by deriving each equation with respect to t. Then, the chain rule is … Read more

Categories Calculus
Derivatives of implicit functions

Implicit Differentiation – Examples with Answers

Implicit functions can be differentiated by deriving each term of the function with respect to x. For this, the chain … Read more

Categories Calculus
Formula for the chain rule of integrals

Chain Rule for Integration with Examples

The chain rule for integrals is an integration rule related to the chain rule for derivatives. This rule is used … Read more

Categories Calculus
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