Let `f(x)=-sin^3x+3sin^2x+5 ` on `[0,pi/2]` . Find the local maximum and local minimum of `f(x)dot`

Find the local maximum and local minimumof f(x)=x^(3)-3x in [-2,4].

Find the local maximum and local minimum value of f(x)=secx+logcos^2x ,0ltxlt2pi

Let f(x)=sinx-x" on"[0,pi//2] find local maximum and local minimum.

Find the local maximum and local minimum values of f(x)=secx+logcos^2x ,\ \ 0ltxlt2pi

Let f(x)=x^(3) find the point at which f(x) assumes local maximum and local minimum.

Let f(x)={(1-sin^3x)/(3cos^2x) if x pi/2 find a and b. .

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

Let f(x) =x +(1)/(x). find local maximum and local minimum value of f(x) . Can you explain this discrepancy of locally minimum value being greater than locally maximum value.

Consider the function f:(-oo,oo)vec(-oo,oo) defined by f(x)=(x^2+a)/(x^2+a),a >0, which of the following is not true? maximum value of f is not attained even though f is bounded. f(x) is increasing on (0,oo) and has minimum at ,=0 f(x) is decreasing on (-oo,0) and has minimum at x=0. f(x) is increasing on (-oo,oo) and has neither a local maximum nor a local minimum at x=0.

Find the points of local maxima, local minima and the points of inflection of the function f(x)=x^5-5x^4+5x^3-1 . Also, find the corresponding local maximum and local minimum values