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
Calculus
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