For the function `f(x)=x+1/x` `x=1` is a point of maximum (b) `x=-1` is a point of minimum (c) maximum value > minimum value (d) maximum value < minimum value

Consider the following statements in respect of the function f(x)=x+(1)/(x), 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x=1. Which of the above statements is /are correct?

Find the maximum and minimum values of f(x)=(1-x)+|x|

The product of minimum value of x^(x) and maximum value of ((1)/(x))^(x) is

For the expression (1)/(sin^(6)x+cos^(6)x) a.maximum value is 4b b.minimum value is 1c . maximum value is6d.minimum value is (1)/(2)

Let f(x)=(x-1)^(4) discuss the point at which f(x) assumes maximum or minimum value.

The function f(x)=cos x-sinx has maximum or minimum value at x=…..

If f(x)=|x-1|+|x-2|-|x-3|, then (a) maximum value of f(x) is 3 if x in[2,3] (b) maximum value of f(x) is -3 if x in[1,3] (c) maximum value of f(x) is -3 if x in[1,2] (d) maximum value of f(x) is 3 if x in[1,3]

Which one of the following statements is correct in respect of the function f(x)=x^(3)sin x?(a) It has local maximum at x=0. (b) It has local minimum at x=0. (c) It has neither maximum nor minimum at x=0.( d) It has maximum value 1.

The maximum and minimum values of f(x)=(x-1)(x-2)(x-3) are