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

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

Find the local maxima or local minima of f(x) = x^(3) - 6x^(2) + 9x + 15 Also, find the local maximum or local minimum values as the case may be

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:

Let f(x)=2x^(3)-3(2+p)x^(2)+12px If f(x) has exactly one local maxima and one local minima, then the number of integral values of p is ....

Find the local maxima or local minima, if any, of (i) f(x) = (1)/((x^(2) + 2)) (ii) f(x) = (x^(3) - 3x) In each case, find the local maximum or the local minimum values, as the case may be

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.

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

f(x)={c^x ,0lt=x1 2-c^(x-1),1

f(x)= {{:(x, 0 (A) g(x) has no local maxima (B) g(x) has no local minima (C) g(x) has local maxima at x=1+ln2 and local minima at x=e (D) g(x) has local minima at x=1+2ln2 and local maxima at x=e