Differentiation Quiz

Select Difficulty Level

You will be asked random questions based on the level of difficulty selected below.


What is revision mode...?

After every question is a summary with a breakdown of how Maths Generation arrived at that answer. See below.

Definition

In calculus, differentiation is a method used to find rates of change. It allows us to see how much a value changes in respects to another value.

Uses

  • » This can be used to find the acceleration of a moving object by finding the rate of change in velocity with respects to time.
  • » It can also be used to find the gradient of a curve on a graph or a slope.
  • » To find out whether a function is increasing, decreasing or the coordinates of the stationary point(s). This helps in determining whether the stationary points are minimum points, maximum points or points of inflexion.

Types of differential equations

  • » First Order Differential Equations.
  • » Second Order Differential Equations.
  • » Ordinary Differential Equations.
  • » Sturm-Liouville Equations.
  • » Linear Differential Equations.
  • » Nonlinear Differential Equation.
  • » Homogeneous Differential Equation.
  • » Nonhomogeneous Differential Equation.
  • » Partial Differential Equations.