Answer:
3
Step-by-step explanation:
The measure of the slope is [tex]\frac{dy}{dx}[/tex] at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex](a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]
Given
y = x³ - 1, then
[tex]\frac{dy}{dx}[/tex] = 3x²
The slope at (1, 0) is
[tex]\frac{dy}{dx}[/tex] = 3(1)² = 3