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Find the Tangent lines of the slopes of the three zeroes

Nivetham

New member
Apr 10, 2013
2
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!
 

Jameson

Administrator
Staff member
Jan 26, 2012
4,052
Hi Nivetham,

Welcome to MHB! :)

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

Jameson
 

Nivetham

New member
Apr 10, 2013
2
Hi! It's the second equation. Thank you!
 

Petrus

Well-known member
Feb 21, 2013
739