Applications of Limits

Question

What is the instantaneous slope of y =  at x = -3?

Options:

1. -8/3
2. 8/3
3. -8/9
4. 8/9

Answer 1

y = 8/x

y = 8 * x^-1

To find the slope, take the 1st derivative:

y' = -8 * x^-2 = -8/x²

plug in x = -3 to get the final answer.