Question

Let f(x) have second order derivate at c such that f'(c)=0 and f"(c)>0, then c is a point of *

inflexion

local maxima

local minima

None of these

​

Answer 1

Answer:

correct answer is local minima

Answer 2

Given :   f(x) have second order derivate at c such that f'(c)=0 and f"(c)>0

To Find : c is a point of  

inflexion

local maxima

local minima

None of these

Solution:

f(x)  is any function

f'(c) = 0

f''(c)  > 0

hence c is a point of Local Minima

f(x)  is any function

f'(c) = 0

f''(c)  <  0

hence c is a point of Local Maxima

Local Minima   is correct answer

Learn More:

this problem is about maxima and minima. find the area of the ...

https://brainly.in/question/13355753

examine the maxima and minima of the function f(x)=2x³-21x²+36x ...

https://brainly.in/question/1781825