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

0 votes

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

asked Feb 2, 2015 in CALCULUS by anonymous
reshown Feb 2, 2015 by goushi

1 Answer

0 votes

Step 1 :

The equation is and the point is .

The slope of the tangent line is the derivative of the function at .

Apply derivative on each side with respect to x.

image

Substitute in above equation.

image

The slope is image.

Step 2 :

The point-slope form of a line equation is .

Substitute image and the point in above equation.

image

The tangent line equation is image

Solution :  

The tangent line equation is image

answered Feb 2, 2015 by Thomas Apprentice
edited Feb 2, 2015 by Thomas

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