anonymous
  • anonymous
Determine the equation of the tangent to f(x)=x+sinx at x= pi
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\huge f'(x)=1+cosx\]
anonymous
  • anonymous
f'(x) = m
Jhannybean
  • Jhannybean
now plug in x=pi into the x-value

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yrelhan4
  • yrelhan4
yeah.. now put in x=pi.. that would give you the slope.
anonymous
  • anonymous
y= 180
Jhannybean
  • Jhannybean
\[\large f'(\pi )= 1 + \cos(\pi) = 0\]
anonymous
  • anonymous
m=0
Jhannybean
  • Jhannybean
because cos(pi) = -1.
yrelhan4
  • yrelhan4
you won, madame. :)
anonymous
  • anonymous
y=180 would be the equation ?
Jhannybean
  • Jhannybean
so the equation...we have m= 0, and can figure out our "b" value by plugging everything we know into To figure out the "y" value, plug x=pi back into original equation. \[\large y=f(\pi) = \pi + \sin(\pi)\] what is your y-value?
anonymous
  • anonymous
y=180
Jhannybean
  • Jhannybean
-_- y = pi. now we have m =0, y = pi, x= pi. \[y-y_{1}= m(x-x_{1})\]\[y-\pi = 0(x-\pi)\]\[y=\pi\]
anonymous
  • anonymous
No .. we can substitute pi for 180 @Jhannybean
Jhannybean
  • Jhannybean
You get the same thing :P

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