" Local minima of "f(x)=x+(1)/(x)" obtained at "x=

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

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

Let f(x)={(sin(pi x))/(2),0 =1f(x) has local maxima at x=1f(x) has local minima at x=1f(x) does not have any local extrema at x=1f(x) has a global minima at x=1

If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt x le 2,, and g(x) = int_(0)^(x) f(t ) dt","),( x- e,,"," 2lt x le 3 ,, ""):} x in [ 1, 3 ] , then a. g(x) has local maxima at x=1+log_(e)2 and local minima at x=e b. f(x) has local maxima at x=1 and local minima at x=2 c. g(x) has no local minima d. f(x) has no local maxima

Find points of local maxima or minima of f(x) =x^(5)-5x^(4) +5x^(3)-1

Let f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1 f(x) has local maxima at x=1 f(x) has local minima at x=1 f(x) does not have any local extrema at x=1 f(x) has a global minima at x=1

The points of local maxima or local minima of the function f(x) = x^(3) + x^(2) + x + 1 are:

Find all the points of local maxima and local minima of the function f(x)=(x-1)^(3)(x+1)^(2)

Consider the function f(x)=(x-1)^(2)(x+1)(x-2)^(3). What is the number of points of local minima of the function f(x)? What is the number of points of local maxima of the function f(x)?

STATEMENT-1: f(x)=|x-1|+|x+2|+|x-3| has a local minima . and STATEMENT-2 : Any differentiable function f(x) may have a local maxima or minima if f'(x)=0 at some points where f'(x)=0.