Increasing Functions

Increasing Functions

Learn how to show that a function is always increasing using its derivative FollowFollowFollow 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 of the function is...
Logarithmic Equations

Logarithmic Equations

Learn how to solve equations which contain logarithms FollowFollowFollow Key Points Equations with logarithms are solved by removing the logarithm The properties, or rules, of logarithms are a key skill here Logarithms can be removed by ‘dropping’ the...
Collinear Points

Collinear Points

Learn how to show that three points lie in a line (collinear) using vectors FollowFollowFollow Key Points Collinear refers to points laying in a straight line Collinearity can be shown using vectors or gradients Using gradients we show the vectors are parallel and...
Areas & Definite Integrals

Areas & Definite Integrals

Definite Integrals and the Area Under a Curve FollowFollowFollow 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 the area is below the x-axis the definite...