Let F(x) = f(x) g(x) h(x) for all real x, where f(x), g(x) and h(x) are differentiable functions. At some point x₀,  

If the function  then the value ofg’(1) is

The function y = (x² + 1)⁵⁰ is differentiated 70 times to get y₇₀(x). Theny₇₀(x) is a polynomial of degree is equal to

Let f(x + y) = f(x) f(y) for all x, y Ïµ R and suppose that f is differentiable at 0 and f’(0) = 4. If f(x₀) = 8 then f’(x₀) is equal to

A function f (x) is defined for x > 0 and satisfies f(x²) = x³ for all x > 0. Then the value of f’(4) is

Let P(x) be a polynomial of degree 4, with P (2) = –1, P’ (2) = 0, P’’ (2), P’’’ (2) = –12 and P^iv(2) = 24. The value of P’’(1) is

Give a function g which has derivative g’(x) for all x satisfying g’(0) = 2 and g(x + y) = e^y g(x) + e^x g(y) for all x, y Ïµ R, g(5) = 32. The value ofg’(5) – 2e⁵ is