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Find $ dy/dx $ by implicit differentiation.
$ 2x^2 + xy - y^2 = 2 $
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Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 5
Implicit Differentiation
Derivatives
Differentiation
Missouri State University
University of Michigan - Ann Arbor
Idaho State University
Boston College
Lectures
04:40
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
44:57
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
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here The implicit derivative. So by thinking that the remedy from both sides Ah, here we use a product Rosa y plus X, The ribs have wise. Why prize? Why prompted the naughty white yaks? And this will be like this right hand side Should be zero y prom should be X minus two. Why numerator raise miners for X minus y
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