7. Use the limit definition of the partial derivative to verify each of the following ə (a) xy² = y² ?х -xy² = 2xy
7. Use the limit definition of the partial derivative to verify each of the following ə (a) xy² = y² ?х -xy² = 2xy
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem 7: Using the Limit Definition of the Partial Derivative**
Verify each of the following using the limit definition of the partial derivative:
(a)
\[
\frac{\partial}{\partial x} xy^2 = y^2
\]
(b)
\[
\frac{\partial}{\partial y} xy^2 = 2xy
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feeb48727-815e-49f5-91c3-f6a23b068afb%2F3c779c92-a5af-434f-9338-bd4959916681%2F4vltuns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 7: Using the Limit Definition of the Partial Derivative**
Verify each of the following using the limit definition of the partial derivative:
(a)
\[
\frac{\partial}{\partial x} xy^2 = y^2
\]
(b)
\[
\frac{\partial}{\partial y} xy^2 = 2xy
\]
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