Let `f(x)={x^2 if 1 <= x <= 4.` Then `8 sqrtx if x > 4`

Let f(x)={2x+3 for x 1 if f(x) is everywhere differentiable, prove that f(2)=-4

Let f(x)=x^(2)+4x+1 , then

Let f(x)=-2x^(2)+1 and g(x)=4x-3 then (gof)(-1) is equal to

Let f(x) = (x^(2) + 4x + 1)/( x^(2) + x + 1), x inR If m le f(x) le M AA x in R , then (1)/(2) (M - m) = _______

Let f(x) = (x^2 - 4)/(x^2 + 4) , for |x| > 2 , then the function f: (-oo , -2] cup [2, oo) to (-1,1) is :

Let f(x)=1/x^2 int_4^x (4t^2-2f'(t))dt then find 9f'(4)

Let f(x)=1/x^2 int_0^x (4t^2-2f'(t))dt then find f'(4)

Let f(x)=x^(2)+4x+1. Then (A) f(x)>0 for all x(B)f(x)>1 when x>=0 (C) f(x)>=1 when x<=-4(D)f(x)=f(-x) for all x