Tangent to a Curve

Tangent to a Curve

Learn how to find the equation of a tangent line to a curve at a given point FollowFollow Subscribe To Math Mondays Key Points All straight lines are found using y – b = m(x – a) The gradient, m, can be found using the derivative of the curve The gradient...
Increasing Functions

Increasing Functions

Learn how to show that a function is always increasing using its derivative FollowFollow Subscribe To Math Mondays Key Points The values of a function are the f(x) or y values Increasing function means the values are increasing  Increasing effectively means the graph...
Areas & Definite Integrals

Areas & Definite Integrals

Explore the connection between definite integrals and areas under a curve FollowFollow Subscribe To Math Mondays Key Points Definite integrals can be used to find the area under a curve If the area is above the x-axis then the definite integral is exactly the area If...
Integration by Parts

Integration by Parts

Learn how to use integration by parts to evaluate integrals where the integrand is a product of functions FollowFollow Subscribe To Math Mondays Key Points Integration by Parts is for evaluating integrals written as a product of functions It is similar to the product...
The Area Under a Curve

The Area Under a Curve

Learn how to find the area under a curve using definite integrals FollowFollow Subscribe To Math Mondays Key Points The area ‘under a curve’ is the area beneath the curve and between the x-axis and limits The area under is a curve is found by setting up...