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 minimum of f(x) = 2x^(3) + 5x^(2) - 4x

Find the local maximum and local minimum of the function x^(4) - 3x^(3) + 3x^(2) -x

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.

If f(x)=(sin^2x-1)^("n"),"" then x=pi/2 is a point of local maximum, if n is odd local minimum, if n is odd local maximum, if n is even local minimum, if n is even

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: f(x) = sin x - cos x , 0 lt x lt 2pi

Let f(x)={(|x|,for 0 (a) a local maximum (b) no local maximum (c) a local minimum (d) no extremum

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: h(x) = sin x+ cos x , 0 lt x lt (pi)/(2)

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: f(x) = x^(3) - 6x^(2) +9x+15

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: g(x ) =(x)/(2) +(2)/(x ) x gt 0

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: f(x) = xsqrt(1-x) , 0 lt lt 1