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verify that f'(x) = g'(x), and explain the relation between f and g

0 votes

verify that f'(x) = g'(x), and explain the relation between f and g

 

asked Jan 21, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The functions are image and image.

image

Differentiate on each side with respect to image.

image

Apply Quotient rule in derivatives .

image

image

image

Step 2:

image

Differentiate on each side with respect to image.

image

image

image

Therefore, image.

Step 3:

Relation between image and image.

If then image, where image is a constant.

image

image

image

image

image

image.

Solution:

image.

answered Jan 21, 2015 by david Expert

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