The number of critical points of `f(x)=|(x-1)|/(x^(2))`

The number of critical points of f (x)= (int _(0) ^(x) (cos ^(2) t- ""^(3) sqrtt)dt)+3/4 x ^(4//3)-(x+1)/(2) in (0, 6pi] is:

The number of critical points of f(x)=max{sinx,cosx},AAx in(-2pi,2pi), is

Let f(x) =x^(3) -x^(2) -x-4 (i) find the possible points of maxima // minima of f(x) x in R (ii) Find the number of critical points of f(x) x in [1,3] (iii) Discuss absolute (global) maxima // minima value of f(x) for x in [-2,2] (iv) Prove that for x in (1,3) the function does not has a Global maximum.

Find the critical points of f(x)=x^(2//3)(2x-1)

Number of critical points of the function. f(x)=(2)/(3)sqrt(x^(3))-(x)/(2)+int_(1)^(x)((1)/(2)+(1)/(2)cos2t-sqrt(t)) dt which lie in the interval [-2pi,2pi] is………. .

The critical points of f (x) = (x-2)^(2/3) (2 x +1) are

Let f(x) = sin x (1+cos x) , x in (0,2pi). Find the number of critical points of f(x) . Also identify which of these critical points are points of Maxima // Minima.

Let f be a twice differentiable function such that f''(x)gt 0 AA x in R . Let h(x) is defined by h(x)=f(sin^(2)x)+f(cos^(2)x) where |x|lt (pi)/(2) . The number of critical points of h(x) are

Let g(t) = int_(x_(1))^(x^(2))f(t,x) dx . Then g'(t) = int_(x_(1))^(x^(2))(del)/(delt) (f(t,x))dx , Consider f(x) = int_(0)^(pi) (ln(1+xcostheta))/(costheta) d theta . The number of critical point of f(x) , in the interior of its domain, is

Let g(t) = underset(x_(1))overset(x_(2))intf(t,x) dx . Then g'(t) = underset(x_(1))overset(x_(2))int(del)/(delt) (f(t,x))dx , Consider f(x) = underset(0)overset(pi)int (ln(1+xcostheta))/(costheta) d theta . The number of critical point of f(x) , in the interior of its domain, is