If g(x, y) = exy + sin(ax – y), with a E R. The result of 8x – ag, is thefollowing: A) 2a cos(ax – y) B) 2aean-y + 2a cos(ax – y) C) 2aear-y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Answer the question shown in the picture

If g(x, y) = eaxy + sin(ax – y), with a E R. The result of gx – ag, is thefollowing:
А) 2а сos(аx — у)
B) 2aear-y + 2a cos(ax – y)
C) 2aear-y
D) 0
Transcribed Image Text:If g(x, y) = eaxy + sin(ax – y), with a E R. The result of gx – ag, is thefollowing: А) 2а сos(аx — у) B) 2aear-y + 2a cos(ax – y) C) 2aear-y D) 0
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.

g= e^{ax-y}+\sin \left(\left(ax-y\right)\right)

take the partial derivative with respect to x

g_x= \frac{\partial \:}{\partial \:x}\left(e^{ax-y}+\sin \left(ax-y\right)\right)

g_x= \frac{\partial \:}{\partial \:x}\left(e^{ax-y}\right)+\frac{\partial \:}{\partial \:x}\left(\sin \left(ax-y\right)\right)

g_x= e^{ax-y}\left(a-0\right)+\cos \left(ax-y\right)\left(a-0\right)

g_x= e^{ax-y}a+\cos \left(ax-y\right)a

g_x= ae^{ax-y}+a\cos \left(ax-y\right)

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