The function g(x) is differentiable. The function h(x) is defined as: h(x) X = g(x) If g(1) = 4 and g'(1) = 7, what is h'(1)? Simplify any fractions. h'(1) = The function f(x) is differentiable. The function h(x) is defined as: h(x) = xf(x) If f(-3) = 7 and f'(-3) = 8, what is h'(-3)? Simplify any fractions. h'(-3) = Find the derivative of f(x). -5 f(x) = X Write your answer as a constant times a power of x. f'(x) = Find the derivative of f(x). f(x) = 8-1 f'(x) = Write your answer as a constant times a power of x. The function g(x) is differentiable. The function h(x) is defined as: h(x) 6 = g(x) If g(7) = 2 and g'(7) = 3, what is h'(7)? Simplify any fractions. h'(7) = The functions f(x) and g(x) are differentiable. The function h(x) is defined as: h(x) = 2f(x) + 7g(x) If f(7) = 6, f(7) = 5, g(7) = -3 and g'(-7) = 10, what is h'(-7)? Simplify any fractions. h'(-7)= 2 Find the equation of the tangent line to k(x) = 21 - x at x = 5. Simplify any fractions. Find the slope of the tangent line to g(x) = at x = 3. Write your answer as an integer or a fraction. Simplify any fractions.