Question

maximum and minimum value of a function​

Answer 1

Answer:

Maxima occurs when double derivative test gets a negative value and vice versa

Step-by-step explanation:

take a function

derivate it

get the roots of it

double derivate it

put the roots of derivated function in the double derivated function

if u get a positive value it's minima and negative it's Maxima at corresponding x values

now put the roots that u got in first derivative in f(x) to get Maxima and minima values

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Answer 2

Answer:

Maxima and minima of a function exist in a particular domain or range of a function .

whose value that is dy/dx=1

Step-by-step explanation:

now let us understand the term Maxima and minima of a function

lets take curve (above ) .In given curve we see that a and b are two point if we see that there must be a value between a and b of that function .we know that while differentiating (Dy/dx)given function we get the particular instant of point while putting the value of range we get Maxima and minima results .

the value we get that is c in figure suppose to be Maxima called local Maxima of the function.

In the following explanation we observe that the curve must be continuous and differantible while finding Maxima and minimal in a

given range.