Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: `f(x)=x^3(x-1)^2`

Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: f(x)=(x-5)^4

Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: f(x)=cosx ,0

Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: f(x)=x/2+2/x ,x >0

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=(x-5)^(4)

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=(x-1)(x+2)^(2)

Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: f(x)=sin2x-x ,-pi/2lt=xlt=pi/2

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=cos x,0

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=(x)/(2)+(2)/(x),x>0

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=sin2x-x,quad -(pi)/(2)<=x<=(pi)/(2)

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