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) …
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 …
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 …
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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 …
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