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Find dy/dx by implicit differentiation.

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Find dy/dx by implicit differentiation.

x3- 3x2y + 2xy2= 12

asked Jan 22, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function is image.

Apply derivative on each side with respect to image.

image

Use sum and difference rule : image.

image

Use constant multiple and power rule : image.

Use product rule : image.

image

image

Simplify the expression.

image

image

Rewrite the expression.

image

image

From left hand side, take out common factor as image and simplify it.

image

image

image

image

Solution :

image.

answered Jan 22, 2015 by joseph Apprentice

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