Question
Asked Oct 24, 2019
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#9 on the attached picture please.  Find by implicit differentiation.

3. Vxy1
2
4.
5-20 Find dy/dx by implicit differentiation.
5. x24xy y = 4
6. 2х2
7. xxy2 y3 5
2,,2
8. х3
2
9.
x + y
oen
= y2 + 1
10. хе
12. cos(
11. y cos x x2 + y2
4
14. e' si
13. Vx+ y = x4 + y
16. ху
15. eyxy
18. x s
17. tan (xy)x + xy2
20. tan
19 sin(xy) = cos(x + y)
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3. Vxy1 2 4. 5-20 Find dy/dx by implicit differentiation. 5. x24xy y = 4 6. 2х2 7. xxy2 y3 5 2,,2 8. х3 2 9. x + y oen = y2 + 1 10. хе 12. cos( 11. y cos x x2 + y2 4 14. e' si 13. Vx+ y = x4 + y 16. ху 15. eyxy 18. x s 17. tan (xy)x + xy2 20. tan 19 sin(xy) = cos(x + y)

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Expert Answer

Step 1

Consider given equation:

= y2 +1
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= y2 +1

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Step 2

Now, differentiate both sides wi...

d
d
+1)
dx
dxx+y
фy
(x+y)(2x)-x1+
dy
2y
dx
dx
(x+y)
dy
(2x +2ку) -к* -
dy
2у
dx
dx
(x+y)
dy
- 2y (x+y)
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d d +1) dx dxx+y фy (x+y)(2x)-x1+ dy 2y dx dx (x+y) dy (2x +2ку) -к* - dy 2у dx dx (x+y) dy - 2y (x+y)

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Tagged in

Math

Calculus

Derivative