Question

What is the instantaneous slope of y = eight over x at x = –3

Answer 1

\[y=\frac{ 8 }{ x }\]

Answer 2

Hey Pat :)
Looks like we need to take a `derivative` to figure that out, ya?

Answer 3

Here is a helpful way to rewrite your expression:\[\large\rm \frac{1}{x}=x^{-1}\]So then,\[\large\rm \frac{8}{x}=8x^{-1}\]

Answer 4

From there you can apply your power rule for differentiation! :)

Answer 5

Any confusion?
Mmm k lemme know.