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OpenStudy (anonymous):
Need explanation pleaase!
Find the equation of the tangent line to the given curve at the given point.
Can someone please explain?
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OpenStudy (anonymous):
\[y = 1/cosx - 2cosx \]
OpenStudy (roadjester):
To find the tangent line, you must first find the derivative.
OpenStudy (anonymous):
given point is ( pi/3 , 1) and answer is 3\[3\sqrt{3x}-y+1-\pi \sqrt{3}=0 \]
OpenStudy (roadjester):
Then use the point-slope formula
OpenStudy (anonymous):
Can you show me?
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OpenStudy (roadjester):
I'm sorry, I have to go...I'll be free tomorrow.
OpenStudy (experimentx):
find the derivative, put the values, you will get the slope
since you have point and slope ... use single point slope formula
OpenStudy (anonymous):
Okay thanks:D but the problem is I keep getting the answer wrong.
OpenStudy (anonymous):
y = 1/cosx−2cosx
y = - sinx/ cox²x + 2 sinx
OpenStudy (anonymous):
f (x) = - tanx/ cosx + 2sinx
f ( pi/3) = -2√3 + √3 = - √3
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OpenStudy (anonymous):
Tangent line at ( pi/3 , 1) :
y - 1 = -√3 ( x - pi/3)
=> y = -√3 x + pi/√3
OpenStudy (anonymous):
@bobobo Not sure if your post miss some parentheses!
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