Let x=f(t) and y=g(t), where x and y are twice differentiable function. If f'(0)= g'(0) =f''(0) = 2. g''(0) = 6, then the value of `((d^(2)y)/(dx^(2)))_(t=0)` is equal to

If x=f(t) and y=g(t) are differentiable functions of t then (d^(2)y)/(dx^(2)) is

If x=f(t) and yy=g(t) are differentiable functions of t then (d^(2)y)/(dx^(2)) is

If x=f(t) and y=g(t), then (d^(2)y)/(dx^(2)) is equal to

fis a differentiable function such that x=f(t^(2)),y=f(t^(3)) and f'(1)!=0 if ((d^(2)y)/(dx^(2)))_(t=1)=

If x=f(t) and y=g(t) , then (d^2y)/(dx^2) is equal to

If x=f(t) and y=g(t) , then (d^2y)/(dx^2) is equal to

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) is equal to

If f(x), g(x) be twice differentiable functions on [0,2] satisfying f''(x) = g''(x) , f'(1) = 2g'(1) = 4 and f(2) = 3 g(2) = 9 , then f(x)-g(x) at x = 4 equals (A) 0 (B) 10 (C) 8 (D) 2

If f(x), g(x) be twice differentiable functions on [0,2] satisfying f''(x) = g''(x) , f'(1) = 2g'(1) = 4 and f(2) = 3 g(2) = 9 , then f(x)-g(x) at x = 4 equals (A) 0 (B) 10 (C) 8 (D) 2