## 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

## Derivative of x ln(x) with Proofs and Graphs

The derivative of x ln(x) is equal to 1+ln(x). This derivative can be found using the product rule of derivatives. … Read more

## Derivative of ln(x^2) with Proofs and Graphs

The natural logarithm of x squared, also denoted as ln(x2), is the logarithm of x2 to base e (euler’s number). The derivative of the … Read more

## Derivative of Natural log (ln(x)) with Proofs and Graphs

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