`f(x) = -(3/4)x^2-8x^3-42/5x^2+105`. Calculate local maxima and local minima.

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:

For the function f(x)=4/3x^3-8x^2+16 x+5,x=2 is a point of (1)local maxima (2) local minima (3)point of inflexion (4) decreasing/increasing

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 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.

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

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

Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 has local maxima and local minima and points of inflexion.

The function f(x)=|x^2-2|/|x^2-4| has, (a) no point of local maxima (b) no point of local minima (c) exactly one point of local minima (d) exactly one point of local maxima

Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 has(i) local maxima (ii) local minima (iii) point of inflexion

Show that f(x) =(x^(3) -6x^(2)+12x-8) does not have any point of local maxima or minima . Hence draw graph