M = {x | x in W, 3x + 6 = 0} is a

Solve the following: f(x) = -x for -2 le x = 2x for 0 le x le 2, = frac{18-x}{4} for 2 g(x) = 6-3x, 0 le x = frac{2x-4}{3} , 2 le x Let u(x)= f[g(x)], v(x)=g[f(x)] and w(x)=g[g(x)] Find each derivative at x=1, if it exists, i.e., find the u'(1), v'(1) and w'(1). If it doesn't exist, then explain why?

Suppose that the function f and g and their derivatives w.r.t. x have the following values at x=0 and x=1. . The derivative of f[x + g(x)] w.r.t. x at x=0 is _____

If A -={x//6 x ^(2)+ x-15=0}, B-={x//2x ^(2) - 5x +3 =0}and C-= {x//2x ^(2) -x-3 =0}, then A nn B nnC=

Suppose that the function f and g and their derivatives w.r.t. x have the following values at x=0 and x=1. . The derivative of f[g(x)] w.r.t. x at x=0 is _____

Suppose that the function f and g and their derivatives w.r.t. x have the following values at x=0 and x=1. . The derivative of g[f(x)] w.r.t. x at x=0 is _____

Integrate the following w.r.t. x: int (3x-2) sqrt ( x^2 + x + 1) dx

Evaluate the following w.r.t x: int 2sin 3x sin 6x dx