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Find z = f (x, y) and use the total differential to approximate the quantity.

Find z = f (x, y) and use the total differential to approximate the quantity.

asked Feb 18, 2015 in CALCULUS by anonymous
reshown Feb 18, 2015 by goushi

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1 Answer

Step 1:

The expression is .

Rewrite the expression as .

Increment of is .

Consider the function is .

and .

The total differential is .

Find and .

The function is .

Apply partial derivative on each side with respect to .

Apply partial derivative on each side with respect to .

Step 2:

Substitute , , and in

.

Substitute .

Solution:

.

answered Feb 21, 2015 by Sammi Mentor
edited Feb 21, 2015 by Sammi

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