Question

Find the slope of the tangent line to the graph y = x^-3 at the point (0.5, 8).

Answer 1

what does the term tangent mean in this context?

Answer 2

The derivative.

Answer 3

Find dy/dx and sub in 0.5

Answer 4

the derivative of the function is -3x^-2

Answer 5

How do I find it at that point?

Answer 6

I got -12

Answer 7

Do I need to plug in 8 also?

Answer 8

-12 is the slope.........

Answer 9

if you plugged in both you wouldn't have any variables...

Answer 10

okay and so -12 would be my answer