jourdanmakynzie jourdanmakynzie
  • 11-01-2020
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 11-01-2020

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

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