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Algebraic '''differentiation''' is an integral part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.

Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.

Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.

Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.