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Mathematik-Online problems:

Problem 927: Implicit Differentiation

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Consider the following curve:

$\displaystyle 100y^2 + x^2 y = 100 x^2 - x^3.$

(a)
Find the rate of change of $ y$ with respect to $ x$ at the point $ (20,-20)$.
(b)
If $ x$ changes at the rate of $ 3$ units/second, find the rate of change of $ y$ at the point $ (20,-20)$.
(Author: Rafee )

see also:

[Solutions]
  automatisch erstellt am 14.  1. 2005