If `h(x) = f^2(x) - g^2(x) ` and f'(x) = -g(x) and g'(x) = f(x) then find h'(x)

If f(x)=|x-1| and g(x)=f(f(f(x))) then for x>2,g'(x)=

STATEMENT - 1 : Let f be a twice differentiable function such that f'(x) = g(x) and f''(x) = - f (x) . If h'(x) = [f(x)]^(2) + [g (x)]^(2) , h(1) = 8 and h (0) =2 Rightarrow h(2) =14 and STATEMENT - 2 : h''(x)=0

If f(x)=2x+3 and g(x)=9x+6 , then find g[f(x)]-f[g(x)]

Given f(x) = (1)/((1-x)) , g(x) = f{f(x)} and h(x) = f{f{f(x)}}, then the value of f(x) g(x) h(x) is

Let f(x)=x, g(x)=1//x and h(x)=f(x) g(x). Then, h(x)=1, if