Interval in which at least one of the points of local maximum of `cos^2x + sinx` lies

(i)Find the interval in which the function f(x) = sin(Inx)-cos(Inx) is strictly increasing. (ii) For what values of 'a' the point of local minima of f(x) = x^(3) - 3ax^(2) + 3(a^(2) - 1)x+1 is less than 4 and point of local maxima is greater than -2.

The function S(x)=underset0oversetx(int)sin((pit^2)/2) dt has two critical points in the interval [1, 2.4] one of the critical points is a local minimum and the other is a local maximum. Find x where local minimum occurs .

The function S(x)=int_(0)^(x)sin((pit^(2))/(2)) dt has two critical points in the interval [1,2.4] . One of the critical points is a local minimum and the other is a local maximum . The local maximum occurs at x equals _____

The function S(x)=int_(0)^(x)sin((pit^(2))/(2)) dt has two critical points in the interval [1,2.4] . One of the critical points is a local minimum and the other is a local maximum . The local maximum occurs at x equals _____

The function S(x)=int_(0)^(x)sin((pit^(2))/(2)) dt has two critical points in the interval [1,2.4]. One of the critical points is a local minimum and the other is a local maximum . The local maximum occurs at x equals…………. .

Find the intervals of monotonicity and hence find the local maximum for the function f(x) = x^(2) - 6x + 2

Find the points of local maximum or local minimum for the following (x-3)^4

Find the intervals in which the following functions are increasing or decreasing : sinx + cos x, 0 le x le 2 pi

Find the points of local maxima or local minima, if any, using first derivative test, and local maximum or local minimum of f(x)=sinx-cosx , x in (0, 2 pi)

Find the points of local maxima or local minima, if any, using first derivative test, and local maximum or local minimum of f(x)=sinx-cosx , 0