Question

Find the instantaneous rate of change for the function at the given value.

f(x) = x² + 2x, at x = -4.

The instantaneous rate of change at x = -4 is: ____________

Answer 1

The instantaneous rate of change for the function f(x) = x² + 2x at x = -4 is -6.

Step-by-step explanation:

To find the instantaneous rate of change for the function f(x) = x² + 2x at x = -4, we need to take the derivative of the function. The derivative of f(x) is given by f'(x) = 2x + 2. Evaluating the derivative at x = -4, we have f'(-4) = 2(-4) + 2 = -8 + 2 = -6.

Therefore, the instantaneous rate of change for the function at x = -4 is -6.