Applications of Derivatives

Applications of derivatives explained with concepts of rate of change, increasing–decreasing functions, maxima–minima, and simple real-life examples.

1.Rate of Change
Rate of change explained using derivatives, average and instantaneous change, and simple examples.
2.Increasing and Decreasing Functions
Increasing and decreasing functions explained using the sign of the derivative, critical points, and simple examples.
3.Maxima and Minima
Maxima and minima explained using critical points, first derivative test, second derivative test, and simple examples.
4.Equations of Tangent and Normal
Tangent and normal lines explained using derivatives, slope at a point, and clear examples.
5.Approximations Using Differentials
Linear approximation and differentials explained with simple steps, intuition, and examples.