How do you implicitly differentiate x^2+ 2xy- y^2 + x=2

kislotd

kislotd

Answered question

2022-07-17

How do you implicitly differentiate x 2 + 2 x y - y 2 + x = 2

Answer & Explanation

phinny5608tt

phinny5608tt

Beginner2022-07-18Added 17 answers

x 2 +2xy- y 2 +x=2
To differentiate 2xy use product rule
2x+2x d y d x +2y-2y d y d x +1=0
Rewrite it
2x d y d x -2y d y d x +2x+2y+1=0
2x d y d x -2y d y d x =-2x-2y-1
d y d x (2x - 2y) = - 2x - 2y - 1
- 2 x - 2 y - 1 2 x - 2 y

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