Read the following information and answer the two items that follow :

Consider the equation x^y = e^{x $$-$$ y}

What is $${{{d^2}y} \over {d{x^2}}}$$ at x = 1 equal to ?

What is the derivative of $${\sec ^2}({\tan ^{ - 1}}x)$$ with respect to x ?

If f(x) = sin (cos x), then f'(x) is equal to

Direction : Consider the following for the items that follow :

Let f : (-1, 1) → R be a differentiable function with f(0) = -1 and f’(0) = 1 Let h(x) = f(2f(x) +2) and g(x) = (h(x))². 

What is h’(0) equal to?