Class 12 Maths Application of Derivatives | Introduction |

__Introduction__

The derivative is a way to show the rate of change i.e. the amount by which a function is changing at one given point. For functions that act on the real numbers, it is the slope of the tangent line at a point on the graph.

In the above figure, the function is shown in black color and a tangent is shown in red color.

In this chapter we will learn and understand how to

**(i)** determine rate of change of quantities.

**(ii)** find the equations of tangent and normal to a curve at a point.

**(iii)** find turning points on the graph of a function which in turn will help us to locate points at which

largest or smallest value of a function occurs.

**(iv)** Use derivative to find intervals on which a function is increasing or decreasing.

**(v)** Use the derivative to find approximate value of certain quantities.

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