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Find $ dy/dx $ by implicit differentiation.$ y \cos x = x^2 + y^2 $
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00:35
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 5
Implicit Differentiation
Derivatives
Differentiation
Campbell University
Oregon State University
Baylor University
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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He's probably given any questions that were asked to use interest depreciation to find a video file. Respect, excellence. I tear it off all the terms with respect effects. Let's start from the German left inside. We're gonna support hope. So we have Sign Ex Turns. Why, plus co signed X times you want Begin Since why's function X on the left on the right. Inside we have two X plus two wine again you. And yet, since Y is a function extra less group all the terms with DVDs one side. Unless group over terms, you got a few ideas on your side. Let's write this one as you want the eggs off to while my disco side effects. Is it going to, uh, we have? Well, that would be negative. Selects since they were two courtside inspector sign. So we have negative. All sign next times. Why minus two X. So basically, I took this Theo idea next time and right here into that two extra men riding on the back. So we haven't divine the answer for everything to be negative off. Why time sign Next plus two x divided by two. Why minus co signer. Thanks or that is equal to white time. Sign of X. You know, I don't like to x divided by co sign X minus two. What?
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