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

Equation for the Normal to a Curve – Examples with answers

To find the equation of the normal line to a curve at a given point, we have to use the … Read more

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

Equation for the Tangent to a Curve – Examples with answers

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

Categories Calculus
Second derivative of a function

Second Derivative of a Function – Examples with answers

The second derivative of a function is found by differentiating the first derivative of the function. This means that we … Read more

Categories Calculus
Sum and difference rules of derivatives

Sum and Difference Rule of Derivatives – Examples with answers

To differentiate a sum or difference of functions, we have to differentiate each term of the function separately. This means … Read more

Categories Calculus
Formula for the derivative of a function using limits

Derivatives Using Limits – Examples with Answers

Derivatives can be calculated using the definition of a derivative with limits. This definition consists of using the limit to … Read more

Categories Calculus
Formula for the derivative of a function using limits

The Definition of a Derivative as a Limit

The definition of the derivative as a limit can be found by using the slope formula to find the slope … Read more

Categories Calculus
Derivative of natural log of x+1

Derivative of ln(x+1) with Proofs and Graphs

The natural logarithm of x+1, also denoted as ln(x+1), is the logarithm of x+1 to base e (euler’s number). The derivative of the natural … Read more

Categories Calculus
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