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
Month: September 2022
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