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Find an equation of the tangent line to the graph at the given point.

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Find an equation of the tangent line to the graph at the given point. To print an enlarged copy of the graph, go to the website  www.mathgraphs.com.

Rotated hyperbola

asked Jan 22, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The equation is image and the point is image.

Consider image.

Differentiate on each side with respect to image.

image

Product rule of derivatives : image.

image

Slope of the tangent line at image.

image

Slope of the tangent line is image.

Step 2:

Point slope form of line equation is image

Substitute image and image in the above equation.

image

Solution :

The tangent line equation is image.

answered Jan 22, 2015 by Lucy Mentor
edited Jan 22, 2015 by Lucy

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