The graph of a function, f is shown above. Let h(x) be defined as h(x) = (x + 1) · f(x). Find h′(4).

A

Step-by-step explanation:

We are given the graph of f and the function:

And we want to find h'(4).

Therefore, we will differentiate both sides:

Use the product rule:

Differentiate:

Thus:

For f'(4), this is the derivative of f at x = 4. We can see that the derivative at this point is -2 as it is a line with a slope of -2.

And using the graph, f(4) is 4.

Therefore:

The answer is A.

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step-by-step explanation: