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Month: September 2022

Diagram of the equation of the normal to a curve in a point P

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

Categories Calculus
Diagram of the equation of the tangent to a curve in a point P

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

Categories Calculus
Second derivative of a function

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

Categories Calculus
Sum and difference rules of derivatives

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

Categories Calculus
Formula for the derivative of a function using limits

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

Categories Calculus
Formula for the derivative of a function using limits

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

Categories Calculus
Formulas for the remainder and factor theorems

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

Categories Algebra
Formula for the remainder theorem

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

Categories Algebra
Parallel and perpendicular lines

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

Categories Geometry
Formula for the angle of slope of a line

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

Categories Geometry
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