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

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

asked Jan 29, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The function is image and the point is .

Differentiate image with respect to x.

image

Chain rule of derivatives : image

image

Slope of the tangent line at .

image

Slope of the tangent line is .

Step 2:

Point slope form of line equation is .

Substitute image and in the above equation.

The tangent line equation is .

Solution :

The tangent line equation is .

answered Jan 30, 2015 by Thomas Apprentice

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