Find the second-order partial derivatives of the function. Show that the mixed partial derivatives fxy and fyx are equal. f(x, y) = x² + x²y + x + 5 fxx = fyy fxy fyx = = =
Find the second-order partial derivatives of the function. Show that the mixed partial derivatives fxy and fyx are equal. f(x, y) = x² + x²y + x + 5 fxx = fyy fxy fyx = = =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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![Find the second-order partial derivatives of the function. Show that the mixed partial derivatives fxy and fyx are equal.
f(x, y) = x¹ + x²y + x + 5
fxx =
fyy
fxy
=
=
fyx=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef3b440f-f5de-4a2a-817d-48b2b1baa1e0%2Fb331e0a5-8137-49e6-80aa-3317ce5cd10a%2F9pan78l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the second-order partial derivatives of the function. Show that the mixed partial derivatives fxy and fyx are equal.
f(x, y) = x¹ + x²y + x + 5
fxx =
fyy
fxy
=
=
fyx=
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