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Find (a) $f_{x x}(x, y),$ (b) $f_{y y}(x, y),$ (c) $f_{x y}(x, y),$ and $f_{y x}(x, y)$ for the function defined in the given Exercises.Exercise 11

(a) $120 x\left(2 x^{3}-3 y^{4}\right)^{3}\left(14 x^{3}-3 y^{4}\right)$(b) $4\left(2 x^{3}-3 y^{4}\right)^{3}\left(2079 y^{8}-432 x^{3} y^{4}+4 x^{6}\right)$(c) $120 x^{2} y\left(2 x^{3}-3 y^{4}\right)^{3}\left(2 x^{3}-27 y^{4}\right)$

Calculus 3

Chapter 6

An Introduction to Functions of Several Variables

Section 2

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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Find (a) $f_{x x}(x, y),$ …

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For the following exercise…

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In Exercises $1-4,$ find t…

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Find $f_{x x}(x, y), f_{x …

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