# derivative

## Second Derivative Test for Maxima and Minima

Here you will learn second derivative test for maxima and minima with examples. Let’s begin – Second Derivative Test for Maxima and Minima If f(x) is continuous and differentiable at x = a where f'(a) = 0 and f”(a) also exists then for ascertaining maxima/minima at x = a, 2nd dervative can be used (i) …

## First Derivative Test for Maxima and Minima

Here you will learn first derivative test for maxima and minima with examples. Let’s begin – First Derivative Test for Maxima and Minima If f'(x) = 0 at a point (say x = a) and  (i) If f'(x) changes sign from positive to negative in the neighbourhood of x = a then x = a …

## Higher Order Derivatives of Parametric Equations

Here you will learn higher order derivatives of parametric equations with examples. Let’s begin – Higher Order Derivatives of Parametric Equations We know that the differentiation of parametric equations of type x = at and y = 2at is given by formula $$dy\over dx$$ = $$dy/dt\over dx/dt$$ where t is the parameter Now, by again …

## Higher Order Derivatives – Definition and Example

Here you will learn higher order derivatives of functions with examples. Let’s begin – Higher Order Derivatives Definition and Notations If y = f(x), then $$dy\over dx$$, the derivative of y with respect to x, is itself, in general, a function of x and can be differentiated gain. To fix up the idea, we shall …