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Step-by-step Answer
PAGE: 420SET: ExercisesPROBLEM: 76
Please look in your text book for this problem Statement

The functions are  and , where  ,  and .

(a)

Find  and .

Apply derivative on each side with respect to .

.

Substitute  in above expression.

.

Substitute  in above expression.

Consider .

Apply derivative on each side with respect to .

Substitute  in above expression.

.

Substitute  in above expression.

.

(b)

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

If , then

Substitute  in above expression.

.

Therefore, the point is .

Consider .

Apply derivative on each side with respect to .

Slope of the tangent is derivative of the function at the given point.

.

Slope of the tangent is .

Point - slope form of a line equation is .

Substitute  and   in above expression.

Tangent line to the graph  at  is .

(a)  and .

(b) Tangent line to the graph  at  is .



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