Question

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

Answer 1

Answer:

3

Step-by-step explanation:

The measure of the slope is $\frac{dy}{dx}$ at x = a

Differentiate using the power rule

$\frac{d}{dx}$(a$x^{n}$) = na$x^{n-1}$

Given

y = x³ - 1, then

$\frac{dy}{dx}$ = 3x²

The slope at (1, 0) is

$\frac{dy}{dx}$ = 3(1)² = 3