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        A function f is such that f'(2)=f''(2)=0 and f has a local maxima of -17 at x=2.Then f(x) is defined as

8 years ago

Answers : (1)

SAGAR SINGH - IIT DELHI
879 Points
							

Dear student,

I will give only hint not the full solution:

A function f(x) is said to have a local maximum at x = a, if $ is a neighbourhood I of 'a', such that

f(a) f(x) for all x I

The number f(a) is called the local maximum of f(x). The point a is called the point of maxima.

Note that when 'a' is the point of local maxima, f(x) is increasing for all values of x < a and f (x) is decreasing for all values of x > a in the given interval.

At x = a, the function ceases to increase.

A function f(x) is said to have a local minimum at x = a, if $ is a neighbourhood I of 'a', such that

f(a) f(x) for all x I

Here, f(a) is called the local minimum of f(x). The point a is called the point of minima.

8 years ago
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