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help-derivative-trig

0 votes

asked Apr 30, 2015 in CALCULUS by anonymous

6 Answers

0 votes

(1)

Step 1:

The function is .

Apply derivative on each side with respect to x.

Sum rule of derivative : .

Constant multiple rule of derivative : .

Derivative of sine function : .

Derivative of cosine function : .

image

Solution :

image

answered May 1, 2015 by Lucy Mentor
edited May 1, 2015 by Lucy
0 votes

(2)

Step 1:

The function is image.

Apply derivative on each side with respect to x.

image

Constant multiple rule of derivative : .

Product rule of derivatives : .

image

image

Solution :

image

answered May 1, 2015 by Lucy Mentor
edited May 1, 2015 by Lucy
0 votes

(3)

Step 1:

The function is .

Apply derivative on each side with respect to x.

Quotient rule of derivatives : .

image

image

Solution :

image

answered May 1, 2015 by Lucy Mentor
0 votes

(4)

Step 1:

The function is .

Apply derivative on each side with respect to x.

Quotient rule of derivatives : .

image

image

Solution :

image

answered May 1, 2015 by Lucy Mentor
0 votes

(5)

Step 1:

The function is .

Apply derivative on each side with respect to t.

Difference rule of derivative : .

Product rule of derivatives : .

Solution :

answered May 1, 2015 by Lucy Mentor
0 votes

(6)

Step 1:

The function is .

Apply derivative on each side with respect to t.

Quotient rule of derivatives : .

image

image

Solution :

image

answered May 1, 2015 by Lucy Mentor

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