find the maximum and minimum values of the function for(x) =2x^2-6x+3
مهاباد (2)
Answers
Answered by
4
Given that
On differentiating both sides w. r. t. x, we get
For maxima and minima,
Now, from equation (1), we have
On differentiating both sides w. r. t. x, we get
and
Basic Concept Used :-
HOW TO FIND MAXIMUM AND MINIMUM VALUE OF A FUNCTION
Let given function be f(x).
Differentiate the given function, we get f'(x)
let f'(x) = 0 and find critical point say x = a.
Then find the second derivative, i.e. f''(x).
Apply the critical point in the second derivative.
The function f (x) is maximum when f''(a) < 0.
The function f (x) is minimum when f''(a) > 0.
Similar questions