Final answer:
To find G'(-7), use the product rule to differentiate G(x) = -7 * F(x). Then evaluate G'(-7) using the given derivative F'(-7) = -9 and F(x) at x = -7.
Step-by-step explanation:
To find G'(-7), we need to find the derivative of G(x) and then evaluate it at x = -7. Given that G(x) = -7 * F(x) and F'(-7) = -9, we can use the product rule to find G'(x).
Using the product rule, G'(x) = -7 * F'(x) + F(x) * (-7)'. Since F'(-7) = -9, we have G'(-7) = -7 * (-9) + F(-7) * -7'.
Without knowing the derivative of F(x) or F(-7), we cannot determine the exact value of G'(-7), but we can express it as the sum of two terms: -7 * (-9) + F(-7) * -7'.