The table below shows values for four differentiable functions. Suppose we know the following things: t'(x) = g(x) g'(x) = h(1) h'(x) = f(x) f'(x) = t(1) 0 1 2 3 4 h(z) 13204 t(z) 21430 g(x) 34 102 f(1) 0 2 14 3 What is 5[*h(z)dz? What is is [* (t(z). (t(x) + 4)dx? What is the equation of the tangent line to the curve y = f(x) when I = 2? Answer: y =

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A: We have to find the solution of differential equation.

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Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

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Q: 1. Sketch a function f(x) with the following properties: • f'(x) > 0 and f"(x) = 0, for x 2

A: As you posted multiple question , I need to solve only first question.

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A: Graph

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Q: ļim (* +4)- ƒ(x) 3. Find the derivative of the following functions using the Show all your steps. a.…

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