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Find an equation for the level surface of the function through the given point.$$f(x, y, z)=\sqrt{x-y}-\ln z, \quad(3,-1,1)$$

$$2=\sqrt{x-y}-\ln z$$

Calculus 3

Chapter 14

Partial Derivatives

Section 1

Functions of Several Variables

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Lectures

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

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Find an equation for the l…

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Find an equation of the le…

well, this problem were asked to find the equation of the level curve of the given function. Sir. Two given points first recognized that our level curve her A level curve is in the form of the equation X menace skirt of X minus Y Minister Natural log of Z being equal to some constant in order to figure what that constant is, We're going to involve a little function and given point and what we have hair is discouraged of three minus negative belong minus unnatural. Long of one, the natural Huggel born is zero. But what we have here is a skirt for which is equal to two. So the equation of the level curve at our 0.3 negative 11 would be equal to the square root of X minus Y minus the natural level busy is equal to

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