anonymous
  • anonymous
Find the points on the given curve where the tangent line is horizontal or vertical. r = 3cos(theta)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Use y=rsin(theta) x=rcos(theta) Take dy/dx .. take it from here?
anonymous
  • anonymous
yup got it thanks
anonymous
  • anonymous
YEAAH!

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anonymous
  • anonymous
well i actually have to do it but haha your not completely right atm lemme see
anonymous
  • anonymous
actually don't you use the polar curve formula of dy/dx = rcos(theta) + sin(theta) (dr/d(theta)) / -rsin(theta)+cos(theta) (dr/d(theta))? then just set top = 0 or the bottom = 0?
anonymous
  • anonymous
So when your dx=0 you have a vertical tangent line. Actually for this equations there are alot of points where it should be vertical and the horizontal points aren't quite as easy because you have to solve something like 3(cos^2(theta)-sin^2(theta))=0
anonymous
  • anonymous
yep thats exactly what you do, the formula you typed is just the product rule for derivatives
anonymous
  • anonymous
actually not quite
anonymous
  • anonymous
alrighty. easy enough. thanks =)
anonymous
  • anonymous
yep :)

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