Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
WilsonWorla
Group Title
find all points on the curve y=x^33X where the tangent is parallel to the xaxis.
 2 years ago
 2 years ago
WilsonWorla Group Title
find all points on the curve y=x^33X where the tangent is parallel to the xaxis.
 2 years ago
 2 years ago

This Question is Open

nexis Group TitleBest ResponseYou've already chosen the best response.1
Take the derivative \[y=3x^23\] \[y(0)=3x^23\] when \[x=1,x=1\] Now find y's for x=1,1. Tangent is parallel to the xaxis at these points.
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.0
When in doubt always start with the derivative of the function. Hence if y = x³ − 3x dy/dx = 3x² − 3 where dy/dx is of course the instantaneous rate of change function (the slope function). Since the tangent to y is parallel to the xaxis, dy/dx = 0 ∵ the slope of the xaxis is zero (xaxis is horizontal and the slope of any horizontal line is zero). Thus dy/dx = 0 and since dy/dx = 3x² − 3, 3x² − 3 = 0 solving for x, we obtain x = ±1 when x = 1, y = 2 when x = 1, y = 2 ∴ the tangent to y = 3x² − 3 is parallel to the xaxis at the points (1, 2) and (1, 2)
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.