• Support PF! Buy your school textbooks, materials and every day products Here!

Tangent Lines

  • Thread starter hallowon
  • Start date
  • #1
37
0

Homework Statement


show that the tangent line to y=(x2+x-2)3+3 at (1,3) is also tangent to the curve at another point


Homework Equations





The Attempt at a Solution


dy/dx=3(x2+x-2)2(2x+1)
at 1
dy/dx = 0
y=mx+b
b=3
y=3
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31

Homework Statement


show that the tangent line to y=(x2+x-2)3+3 at (1,3) is also tangent to the curve at another point

The Attempt at a Solution


dy/dx=3(x2+x-2)2(2x+1)
at 1
dy/dx = 0
y=mx+b
b=3
y=3
Then solving the equations y=3 and y=y=(x2+x-2)3+3 will give you two solutions, you know (1,3) is a solution, you just need to get the other solution.
 

Related Threads on Tangent Lines

  • Last Post
Replies
6
Views
591
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
5
Views
5K
  • Last Post
Replies
1
Views
721
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
3
Views
1K
Top