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

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

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

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

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

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

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

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

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

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