Respuesta :

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