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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

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Use implicit differentiation to find an equation of the tangent
line to the curve at the given point.
asked Jan 20, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The curve equation is  image and the point is image.

Apply derivative on each side.

image

image

Step 2:

Find slope  of the curve image at image.

image

Slope image.

Find the equation of the tangent line using formula image.

Substitute slope image and point image .

image

image

image.

Solution:

The equation of the tangent line is image.

 

answered Jan 20, 2015 by cameron Mentor

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