Question #0e725

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Question #0e725

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Answer 1 · 2016-04-02T08:33:38

Refer the explanation section

Explanation:

How to find local Maxima and Minima?

$y = f (x)$ $y=f(x)$ Then
Find the first derivative. $\frac{d y}{d x}$ $dy/dx$ .
Equate it with zero and solve it for $x$ $x$
You will get a value for $x$ $x$

At that Value of $x$ $x$ the slope of the curve is zero.

To find whether a maximum or minimum at that point, find the second derivative $\frac{d^{2} y}{{d x}^{2}}$ $(d^2y)/(dx^2)$

Substitute the value of $x$ $x$ in that function,

If $\frac{d^{2} y}{{d x}^{2}} > 0$ $(d^2y)/(dx^2)>0$ There is a local minimum
If $\frac{d^{2} y}{{d x}^{2}} < 0$ $(d^2y)/(dx^2)<0$ There is a local maximum

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Question #0e725

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