##
Implicit Differentiation - Exercise 1

**Exercise 1.** Find *y*' if
*xy*^{3} + *x*^{2}*y*^{2} + 3*x*^{2} - 6 = 1.

**Answer.** Let us use implicit differentiation. Then we take
the derivative of the equation treating *y* as a function of
*x*. We get

Algebraic manipulations give

**
**

**
[Back]
[Next]
**** **
[Trigonometry]
[Calculus]
[Geometry]
[Algebra]
[Differential Equations]
[Complex Variables]
[Matrix Algebra]

S.O.S MATHematics home page
Do you need more help? Please post your question on our
S.O.S. Mathematics CyberBoard.

*Mohamed A. Khamsi
*

Copyright © 1999-2018 MathMedics, LLC. All rights reserved.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour