# A-level Mathematics/Edexcel/Core 1/Differentiation

Differentiation is the opposite to integration and you use dy/dx. To differentiate an equation, you drop the power in the front of the equation and you decrease the power by 1.

E.g. becomes

or

By substituting x values into dy/dx, you are able to find the gradient at a certain point on a graph.

is known as the first deriative of an equation. is known as the second deriative. It is first deriative differentiated a *second* time.

Continuing from the example above,

becomes

The deriatives can be displayed in a few different ways in questions. It can be presented as dy/dx or f'(x).