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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

asked Feb 2, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The functions are image and image, image.

Consider image.

Apply derivative on each side with respect to .

image

Consider image.

Apply derivative on each side with respect to .

image

Step 2:

Find .

Substitute the values of in above expression.

image

Step 3:

Find slope of the tangent at image.

Substitute image in image.

image

image.

Slope of a tangent line is image.

Find the point corresponding to the value image.

Substitute image in image.

image

Substitute image in image.

image

Now obtained point is image

Point - slope form of a line equation is .

Substitute image and image in point - slope form.

image

The tangent line equation is image.

Solution :

The tangent line equation is image.

answered Feb 2, 2015 by joseph Apprentice

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