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anonymous
 3 years ago
I'm having trouble solving this question, can anyone help me?
Find the equation of the tangent line at the given point.
f(x)=csc(x) (8, csc(8))
anonymous
 3 years ago
I'm having trouble solving this question, can anyone help me? Find the equation of the tangent line at the given point. f(x)=csc(x) (8, csc(8))

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Find the first derivative of your function. Then evaluate at your point.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I have my derivative = csc(x) cot(x) Am I on the right track?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Then plug in the x=8 and ill get the yintercept right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Use point slope form.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[yy_{1}=m(xx_{1})\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I've got y=xcsc(x)cot(x)+8csc(x)cot(x)+csc(8) This doesn't seem right

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0No, you need to find the slope at your point first. Do not plug any values into the form yet.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0your point is (8, csc(8))...So..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[f'(8)= \cot(8)\csc(8)\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Sorry your last four messages say math processing error, can you input it again please

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[yy_{1}= (\cot(8)\csc(8))(xx_{1})\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0f(x)=cscx f′(x)=−cotxcscx your point is (8, csc(8))...So.. f′(8)=−cot(8)csc(8) y−y1=(−cot(8)csc(8))(x−x1)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ycsc(8)=(cot(8)csc(8))(x8) y=(cot(8)csc(8)x)+8cot(8)csc(8)+csc(8)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Sorry I was working it out, nice to see I'm on the right track though so far

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I've got y=51.12604x+416.19363

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0A solution and plots using the Mathematica 9 Home Edition program is attached.
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