Question

Question #0e725

Answer 1

Refer the explanation section

Explanation:

How to find local Maxima and Minima?

`y=f(x)` Then
Find the first derivative. `dy/dx`.
Equate it with zero and solve it for `x`
You will get a value for `x`

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

To find whether a maximum or minimum at that point, find the second derivative `(d^2y)/(dx^2)`

Substitute the value of `x` in that function,

If `(d^2y)/(dx^2)>0` There is a local minimum
If `(d^2y)/(dx^2)<0` There is a local maximum

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