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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)=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)=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^3(x-1)^2

For x in (0,(5pi)/2) , define f(x)""=int_0^xsqrt(t)sint"dt" Then f has : local maximum at pi and 2pi . local minimum at pi and 2pi local minimum at pi and local maximum at 2pi . local maximum at pi and local minimum at 2pi .

Find the points of local maxima and local minima, if any, y = 3x^3+12x^2+7 . Find also the local maximum and local minimum values, as the case may be:

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: (i) f(x) = x^(2) (ii) g(x) = x^(3) -3x

Find the points of maximum ( local maximum ) and minimum ( local minimum ) of the function f(x)=x^(3)-3x^(2)-9x ?

A local variation of climate is called