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Find the derivative $y^{\prime}(x)$ implicitly.$$e^{x^{2} y}-e^{y}=x$$

$$y^{\prime}=\frac{1-2 x y e^{x^{2} y}}{x^{2} e^{x^{2} y}-e^{y}}$$

Calculus 1 / AB

Chapter 2

Differentiation

Section 8

Implicit Differentiation and Inverse Trigonometric Functions

Derivatives

Missouri State University

University of Michigan - Ann Arbor

Boston College

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problem. They want us to compute their, uh oh, a little bit of one print, but it wasn't. Wait, So we're going to need to take literally, with respect, x on both sides. We'll have general for this year to the X squared y just e to the input times That area of the input where I need to be product will for this to explain. Plus, this timeline is a risk factor alone. What? And then minus the wine, white crime is a little one. And now let's see if we could bring all the UAE prime terms together. So we'll have a boyfriend. You to the X squared White time, minus seeds of the wine and on the other side of the equation will have one minus two x y me to the X Square in a way, and we can divide both sides by the expression to get one minus two x y e to the X squared one all over X square in times E to the X squared y minus, even the way All right,

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