Finding Equations of Tangents and Intersection Points for y=(2x-1)(x+1)

  • Thread starter Thread starter emmab
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on finding the equations of tangents and intersection points for the curve defined by the equation y=(2x-1)(x+1). The recommended approach is to first determine the x-values where the curve intersects the x-axis by setting y=0, followed by calculating the derivative at those x-values to find the tangent equations. This method ensures accurate tangent calculations at the intersection points.

PREREQUISITES
  • Understanding of calculus, specifically differentiation
  • Knowledge of polynomial functions and their properties
  • Ability to solve equations for x-intercepts
  • Familiarity with tangent lines and their equations
NEXT STEPS
  • Study the process of finding x-intercepts of polynomial functions
  • Learn how to differentiate polynomial functions to find slopes of tangents
  • Explore the concept of tangent lines and their equations in calculus
  • Investigate methods for finding intersection points of lines
USEFUL FOR

Students studying calculus, mathematics educators, and anyone seeking to understand tangent lines and intersection points in polynomial functions.

emmab
Messages
1
Reaction score
0
additional maths help please!

My minds gone blank. How do I solve this
Find the equations of the tangents to the curve y=(2x-1)(x+1) at the points where the curve cuts the x axis. Find the point of intersection of these tangents.
Thanks
Emmab
 
Physics news on Phys.org


First find the tangent equation using differentiation, then find the points where the curve cuts the x-axis and plug in.
 


I would be inclined to do it the other way around! First find the x-values where the curve crosses the x-axis (y= 0 there), then find the derivative at those values of x. No real difference, of course.
 

Similar threads

Quadratics Having a Common Tangent
  • · Replies 1 ·
Replies
1
Views
1K
Lagrange multipliers understanding
  • · Replies 8 ·
Replies
8
Views
2K
Find all points of intersection
  • · Replies 6 ·
Replies
6
Views
2K
Using dx/dy to find a y-parallel tangent
  • · Replies 10 ·
Replies
10
Views
3K
Find the differential equation
  • · Replies 7 ·
Replies
7
Views
2K
Write the tangent lines to the curve
  • · Replies 1 ·
Replies
1
Views
1K
Finding the equation of a curve
  • · Replies 14 ·
Replies
14
Views
2K
Find the equation of a tangent line to y = x^2?
  • · Replies 11 ·
Replies
11
Views
5K
Find the equation of the tangent plane and normal to a surface
  • · Replies 1 ·
Replies
1
Views
2K
Tangent to Hyperbolic function graph
  • · Replies 2 ·
Replies
2
Views
2K