   Chapter 2.6, Problem 6E

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# Find d y / d x by implicit differentiation. 2 x 2 + x y − y 2 = 2

To determine

To find:

dydx

by Implicit differentiation.

Explanation

1) Formula:

i. Power rule:

d xndx=  n xn-1

ii. Product rule:

d (f*g)dx=f'*g+f*g'

iii. Constant rule:

d(c)dx=0

2) Given:

2x2+xy- y2 =2

3) Calculations:

2x2+xy- y2 =2

Use power rule for the terms 2x2 and y2, product rule for xy and constant rule for 2

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