Let `g: R -> R` be a differentiable function with `g(0) = 0,g'(1)=0,g'(1)!=0`.Let `f(x)={x/|x|g(x), 0 !=0 and 0,x=0` and `h(x)=e^(|x|)` for all `x in R`. Let `(foh)(x)` denote `f(h(x)) and (hof)(x)` denote `h(f(x))`. Then which of thx!=0 and e following is (are) true?

Let g:R rarr R be a differentiable function with g(0)=0,g'(1)=0,g'(1)!=0. Let f(x)={(x)/(|x|)g(x),0!=0 and 0,x=0 and h(x)=e(x| all x in R. Let (foh)(x) denote f(h(x)) and (hof)(x) denote h(f(x)) .Then which of thx! =0 and e following is (are) true?

Let g: R -> R be a differentiable function with g(0) = 0,,g'(1)!=0 .Let f(x)={x/|x|g(x), 0 !=0 and 0,x=0 and h(x)=e^(|x|) for all x in R . Let (foh)(x) denote f(h(x)) and (hof)(x) denote h(f(x)) . Then which of the following is (are) true? A. f is differentiable at x = 0 B. h is differentiable at x = 0 C. f o h is differentiable at x = 0 D. h o f is differentiable at x = 0

Let g: RR to RR be a differentiable function with g(0)=0,g'(0)=0 and g'(1)ne0 . Let f(x)={{:((x)/(|x|)g(x)", "xne0),(0", "x =0):}" and "h(x)=e^(|x|)" for all "x inRR. Let ("foh")(x) denote f(h(x)) and ("hof")(x) denote h(f(x)) . Then which of the following is (are) true?

Let f : (-1,1) to R be a differentiable function with f(0) =-1 and f'(0)=1 Let g(x)= [f(f(2x)+1)]^2 . Then g'(0)=

Let f: (-1,1) rarr R be a differentiable function with f(0) = -1 and f'(0) = 1 let g(x) =[f(2f(x)+2)]^2 , then g'(0) =

Let f : (-1,1) to R be a differentiable function with f(0) = -1 and f'(0) = 1 . Let g(x) = [f(2f(x)+2)]^(2) , then g'(0)=

Let f : (-1,1) to R be a differentiabale function with f(0) = -1 and f'(0) = 1. Let g(x) = [f(2f(x)+2)]^(2) , then g'(0)=