Question

How do you find the instantaneous slope of `y=x^3` at x=2?

Answer 1

Slope of `y=x^3` at `x=2` is `12`

Explanation:

`y=x^3`

`dy/dx = 3x^2` (Power rule)

Since `dy/dx` is continious, it represets the slope of `y` for all `x`

Therefore, Slope of `y` and `x=2`
`= 3xx2^2 = 12`