Explain when you have to use implicit differentiation to find a derivative

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Explain when you have to use implicit differentiation to find a derivative

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Step 1

Consider a function 2xy=1.

By implicit differentiation, the above function is written as implicitly as a function of x.

 

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