For `f(x) = sin x - x^(2) + 1`, check weather the function is increasing, decreasing or has a point of extremum ?

the function f(x)=x^2-x+1 is increasing and decreasing

Let f(x)=sin(cosx), then check whether it is increasing or decreasing in [0,pi//2].

The function f(x)=x^2-x+1 is increasing and decreasing in the intervals

The function f(x)=x^2-x+1 is increasing and decreasing in the intervals

Test weather the function f(x)= x^3 + 6 x^2 +12x-5 is increasing or decreasing for all x in R.

The total cost function C(x) = 2x^(3) - 5x^(2) + 7x . Check whether the MAC increases or decreases with increase in outputs .

Test weather the following functions are increasing or decreasing: f(x) = x- 1/x, x in R and x ne 0

which of the folloiwng function has point of extremum at x =0?

which of the folloiwng function has point of extremum at x =0?

If x in (0, pi//2) , then the function f(x) = x sin x + cos x + cos^(2) x is a)Increasing b)Decreasing c)Neither increasing nor decreasing d)None of these