Final answer:
To find the value of f'(-2), we need to take the derivative of the function f with respect to x and then evaluate it at x = -2.
Step-by-step explanation:
To determine the value of f'(-2), we need to find the derivative of the function f with respect to x and then evaluate it at x = -2. The derivative, f'(x), tells us the rate at which the function is changing at a particular point. So, to find f'(-2), we will take the derivative of f and plug in -2 for x.
For example, if the function f(x) = 3x^2 + 5x - 2, then f'(-2) would be found by taking the derivative of f, which is f'(x) = 6x + 5, and plugging in -2 for x. So, f'(-2) = 6(-2) + 5 = -7.