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87

Step-by-step Answer
PAGE: 354SET: ExercisesPROBLEM: 87
Please look in your text book for this problem Statement

The function is .

Find  and .

Apply derivative on each side with respect to .

.

Again derivative on each side with respect to .

.

Substitute  in .

.

Substitute  in .

.

Substitute  in .

.

,  and .

The functions are  and .

.

.

Consider .

Substitute ,  and .

.

Substitute  in above equation.

.

Consider .

Substitute ,  and .

.

Substitute  in above equation.

.

Therefore, the values of ,  and  are equal at .

Graph the functions ,  and .

Observe the graph:

The values of ,  and  are equal at .

The values of ,  and  and their first derivatives agree at .

The values of ,  and  and their first derivatives agree at .



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