Introduction to Differentiation Math Review
math tutorials > introduction to differentiation
What is differentiation? Definition of a derivative.
Differentiation is the process of finding the derivative f'(x) of a function f. It is a part of maths called Calculus.
The derivative is the gradient of the tangent of the graph of f at the point x.
|f(x) = x³||f'(x) = 3x²|
|f(x) = 2x²||f'(x) = 2 x 2x = 4x|
|f(x) = 7x³||f'(x) = 7 x 3x² = 21x²|
When an expression has several terms, find the derivative of each term separately. You may need to expand brackets first.
|f(x) = 3x³ + 2x²||f'(x) = 9x² + 4x|
- The derivative of x is 1.
- The derivative of any number (e.g. 1) is 0.
Differentiation problems for you to try.