Question

A. The slope of the curve y=x^3- 1 at the point P(1,0) is
.

Answer 1

3

Explanation:

The measure of the slope is
`(dy)/(dx)` at x = a

Differentiate using the power rule

`(d)/(dx)`(a
`x^(n)`) = na
`x^(n-1)`

Given

y = x³ - 1, then

`(dy)/(dx)` = 3x²

The slope at (1, 0) is

`(dy)/(dx)` = 3(1)² = 3