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

Answer Link

Otras preguntas

what is the purpose of ethical guidelines for handling of experimental subjects
Write an equation of the line in point-slope form that passes through the two given points: (-17,8), (3,-2)
A maroon plane has a takeoff speed of 88.3 m/s and requires 1635 m to reach that speed. Determine the acceleration of the plane
Can someone pls take some time and answer this for me pls
Frederick Douglass was a supporter for Question 19 options: national economy child labor abolition prohibition
Which religion has the most followers in France?Mi rama de estudio es informática. Soy ________. A. peluquero B. policía C. programador D. pintor
How to solve:8y + 3y=44
Which Greek order has an entablature with a 3 panel architrave in a decorated frieze
hich two governments would share the characteristic of being ruled by a single leader?
Can you help with my Spanish homework?