For the function, find the second-order partials fxx fxy fyx and f vy f(x, y) = 8x³ - 6x²y³ + 7y4 (a) fxx (b) fxy (c) fyx (d) fyy

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 2E
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For the function, find the second-order partials f
f(x, y) = 8x³ - 6x²y³ + 7y4
(a) fxx
(b) fxy
(c) fyx
(d) fyy
fxx¹ fxy¹ fyx
and
fyy
Transcribed Image Text:For the function, find the second-order partials f f(x, y) = 8x³ - 6x²y³ + 7y4 (a) fxx (b) fxy (c) fyx (d) fyy fxx¹ fxy¹ fyx and fyy
Expert Solution
Step 1

The given function is:

fx,y=8x3-6x2y3+7y4

 

As we know that,

The Power law:

ddxxn=nxn-1

And

c·f'=c·f' , where c is constant.

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