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$f(x, y)=2 x y-3 x^{2} y^{3},$ determine (a) $f(2,1),(\mathrm{b}) f(1,2)$.

(a) -8(b) -20

Calculus 3

Chapter 6

An Introduction to Functions of Several Variables

Section 1

Functions of Several Variables

Partial Derivatives

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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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Let $f(x, y)=x^{2} y+1 .$ …

All right, so we're just putting in values for X and y. We have a function of two variables. Um And we just put both values into the expression. I apologize for a second. Okay, wait, it's working. Yes, stylists working out. Okay. So we put in to infer X. So everywhere we see an X, we put it to every we see why we put up one. Um now we have two squared and one cube, so a total of four minus 12 is negative eight. Same thing for one, comma two. This time we're putting in one's for excess and choose for wise. So we have 4 -124 is -20.

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