Maxima and Minima (original) (raw)

Consider the function f(x) = sin(x) in the interval [π/4, 7π/4]. The number and location(s) of the local minima of this function are

A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema for the curve 3x4 - 16x3 + 24x2 + 37

What is the maximum value of the functionf(x) = 2x2 - 2x + 6 in the interval [0, 2]?

If x = -1 and x = 2 are extreme points of f(x) = α log |x| + β x2 + x then

What is the least value of the function f(x) = 2x2- 8x - 3 in the interval [ 0 , 5] ?

The value of x at which y is minimum for y = x2 − 3x + 1 is

The expression [ (x + y) + |x – y| ] / 2 is equal to __________ .

The function f(x) = ax + (b/x), (a > 0, b > 0, x > 0) has the least value at x = ______.

A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema for the curve 3x4 - 16x3 + 24x2 + 37 is

Consider a function f(x) = 1 - |x| on -1 ≤ x ≤ 1. The value of x at which the function attains a maximum, and the maximum value of the function are:

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