Question

Please help! Will medal and fan!!!

Answer 1

The key to this problem is the definition of a composite function and the chain rule.

The chain rule says

The derivative of a composite function is the product of the derivatives of each function or

h'(x)=g'(f)f'(x)

If we want to find the value of the first derivative of the composite function h at x=3 then we need to find the value of the first derivative of g at f(3) and multiply it by the value of the first derivative of f at x=3. The table gives us all the information.

What is the value of f(3)?
Using that value, what is the value of g'(f(3))?

Now multiply that by the value of f'(3) to get your answer of h'(3) = ?