[" If "f(x)=4x^(3)-x^(2)-2x+1" and "],[g(x)=[[min{f(t):0<=t<=x};,0<=x<=1],[3-x,,1

Let f(x) = -x^(3) + x^(2) - x + 1 and g(x) = {{:(min(f(t))",",0 le t le x and 0 le x le 1),(x - 1",",1 lt x le 2):} Then, the value of lim_(x rarr 1) g(g(x)) , is........ .

If f'(x)=4x^3-3x^2+2x+k and f(0)=1, f(1)=4 find f(x)

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to a.(1)/(4) b.0 c.(1)/(3) d.4

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to- (1)/(4)(b)0 (c) (1)/(3)(d)4

Let f (x)= x^3+ x^2+ x+ 1 and g(x)=max[f(t)] , 0<=t<=x , 0<=x<=1 and f(x)=3-x , 1 < x<=2 then function g(x) is

Let f(x)=|x-1|+|x-2| and g(x)={min{f(t):0<=t<=x,0<=x<=3 and x-2,x then g(x) is not differentiable at

Evaluate the following w.r.t x: If f'(x)= 4 x^3 - 3 x^2 +2x +k, f(0)=1 and f(1)=4, find f(x)

If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))/((x^(2)+3)) , then int_(-2)^(2)g(x)dx=