Find the Tangent lines of the slopes of the three zeroes

  • Context: MHB 
  • Thread starter Thread starter Nivetham
  • Start date Start date
  • Tags Tags
    Lines Tangent
Click For Summary

Discussion Overview

The discussion revolves around finding the tangent lines of the slopes at the three zeroes of a given function, specifically focusing on the derivative and the application of the quotient rule. The context includes mathematical reasoning related to calculus.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant presents a function and specifies the range for finding its zeroes.
  • Another participant seeks clarification on the correct form of the function, proposing three different interpretations.
  • A later reply confirms the correct function and prompts the original poster to differentiate the function, suggesting the use of the quotient rule.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the derivative process, as the original poster has not yet confirmed their progress on differentiation.

Contextual Notes

There is an assumption that the function's form is critical for finding the derivative, but this has not been fully resolved. The discussion also lacks details on the specific steps taken to find the zeroes and the derivative.

Nivetham
Messages
2
Reaction score
0
1+50sinx/x^2+3
-5 < x < 5

3 zeroes: 0.02, 3.16, -3.12
Find the derivative and the slopes of the tangent lines.

I need help with the last part. I found out the three zeroes by adding and subtracting pi from the equation at top by setting it to zero.
Thank you!
 
Physics news on Phys.org
Hi Nivetham,

Welcome to MHB! :)

Is this your equation? $$f(x)=1+\frac{50 \sin(x)}{x^2}+3?$$ or is it $$f(x)=1+\frac{50 \sin(x)}{x^2+3}$$, or is it $$\frac{1+50 \sin(x)}{x^2+1}$$?

Jameson
 
Hi! It's the second equation. Thank you!
 
Nivetham said:
Hi! It's the second equation. Thank you!
Hello Nivetham,
Have you derivate the function?
Hint: Quotient rule

Regards,
 

Similar threads

High School Why does the Limit Process give an Exact Slope?
  • · Replies 53 ·
2
Replies
53
Views
6K
High School How to Find the Intersection of a Logarithmic Curve and a Tangent Line?
  • · Replies 14 ·
Replies
14
Views
2K
MHB How Can I Find the Equation of the Dotted Tangent Line of a Circle?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Slope of Tangent line to Polar curve
  • · Replies 2 ·
Replies
2
Views
2K
MHB 210 AP Calculus Exam problem tangent line to curve
  • · Replies 2 ·
Replies
2
Views
2K
MHB 205.2.6.1-2 another implicit problem with tangent line.
  • · Replies 1 ·
Replies
1
Views
2K
MHB Equation for tangent of the curve
  • · Replies 1 ·
Replies
1
Views
1K
MHB -apc.4.1.2 Find the slope at x=4
  • · Replies 7 ·
Replies
7
Views
2K
MHB Calculus III: Proving Tangent Line = 1 for Every Point on Curve
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Question about gradient, tangent plane and normal line
  • · Replies 1 ·
Replies
1
Views
2K