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

Determine the local maxima and local minima of f(x)=x^3-6x^2+12x-8 is

Determine the local maxima and local minima of f(x)=(x+1)^2(x-1)^3 is

Find the maximum and minimum of 3sin 2x+4 cos 2x+3

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

f has a local maximum at x = a and local minimum at x = b. Then -

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

Show that the function f(x)=4x^3-18x^2+27x-7 has neither local maxima and local minima

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 for the given function and also find the local maximum and local minimum values 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: f(x) = sin x - cos x , 0 lt x lt 2pi