Solutions to Implicit Differentiation Problems
2.
3
2
3y + x = 5
1.
2
3
x y+ 2x y = x + y
3.
3
5
5.
x y = 1
7.
x
y
+ = 2y
x
y
J. Cruzan 2013
4
4.
6.
3
y - 2y = 4x + x
x y 2 + x2 y 5 - x3 = 3
4
4
x +y =1
Solutions to Implicit Differentiation Problems
Page 1 of 3
9.
8.
 x+ y =
y- 2/3 + x 3/2 = 1
1
1
+
x
y
10. x 3/2 + y 1/3 = -5 y
11. y +
1
3
= x + x
y
J. Cruzan 2013
Solutions to Implicit Differentiation Problems
Page 2 of 3
12. sin ( x y) = x
13. sin ( x+ y ) = x + cos y
14. tan( x 2 y ) = (x + y) 2
J. Cruzan 2013
Solutions to Implicit Differentiation Problems
Page 3 of 3