Let `f(x)={x^2+x ; -1 leq x lt 0 and lambda ;x=0 and log_(1/2)(x+1/2) ; 0 lt x lt 3/2` Discuss global maxima, minima for `lambda = 0 and lambda=1`. For what values of `lambda` does `f(x)` has global maxima

Let f(x)={x^(2)+x;-1<=x<0 and lambda;x=0 and log_((1)/(2))(x+(1)/(2));0

"Let " f(x) ={underset("log_(1//2) (X +(1)/(2)), 0 lt X lt (3)/(2))underset(lambda , x=0)(x^(2) +x , -1 le X lt0) . Discuss global maxima minima for lambda =0 " and "lambda =1 .

Let f(x)=2x^3-9x^2+12 x+6. Discuss the global maxima and minima of f(x)

Let f(x) = [x] + [-x] for x ne 0 and f (0) = lambda . For what value of lambda , if any, is f continuous at x = 0?

if f(x) ={underset( cos x " "x ge 0)((x+lambda)^(2) " " x lt 0). find possible values of lambda such that f(x) has local maxima at x=0

Let f(x)=1+x , 0 leq x leq 2 and f(x)=3−x , 2 lt x leq 3 . Find f(f(x)) .

Let f(x)=2x^(3)-9x^(2)+12x+6. Discuss the global maxima and minima of f(x) in [0,2].

f(x)={(x+lambda)^(2),x<0 and cos x,x<=0 find possible values of a such that f(x) has local maxima at x=0.

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

If f(x) = 2sin^(3) x + lambda sin^(2) x, x - (pi)/(2) lt x lt (pi)/(2) has exactly one maximum and one minimum, then find set of values of lambda .