## 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

## Remainder and Factor Theorems with Examples

The remainder and factor theorems are two algebraic theorems related to the division and factorization of polynomials. The remainder theorem … Read more

## 10 Examples of the Remainder Theorem with Answers

The remainder theorem tells us that when a polynomial f(x) is divided by (αx–β), the remainder is equal to f(β/α). … Read more

## Parallel and perpendicular lines – Formulas and Examples

Parallel lines are lines that have the same slope. These lines never cross each other, no matter how much they … Read more

## Angle of Slope of a Line – Formula and Examples

The angle of inclination of a line or the angle of the slope of the line is the angle formed … Read more