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$f(x, y)=4 x^{3} y^{2}$ determine (a) $f(3,2),(b) f(2,5)$

(a) 432(b) 800

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.

04:14

01:06

$f(x, y)=25 \ln \left(x^{2…

00:59

$f(x, y)=2 x^{2}-3 x y^{2}…

00:47

$f(x, y)=2 x y-3 x^{2} y^{…

$f(x, y)=100 x^{1 / 4} y^{…

00:50

$f(x, y)=x / y,$ determine…

01:44

Determine whether the equa…

00:58

$f(x, y)=x^{2}-y^{2}-3 x^{…

03:48

Let $f(x)=4 x^{5 / 4}+2 x^…

00:56

$f(x, y)=75 x^{1 / 3} y^{2…

01:37

For $f(x, y)=\left(y^{2}+2…

All right. We have a function in two variables. We just want to find its value at these. Two points. Three comma two and two comma five. So we're going to put in three for X and two. For why? Here? So we get three cute and then we put into for Y. Two squared and this is some ridiculously big number. Let's see if I can do it without a calculator. You certainly don't have to. It's going to be a little bit four times 27 is one. Oh eight times four is 4 32. Alright, we did it. Um Okay. Second one same thing. But I'm putting in 24 X and five for why? This is a little bit easier because this is 25 times four is 100 then this guy's eight, so that's 800.

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