Partial Derivatives of Cos(y) and Sin(x)

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This video works through an example in which we evaluate the partial derivatives of a multivariable function involving cos and sin. Note: There is a minor mistake in the video at the 04:15 mark. I put a brief comment directly in the video o highlight the mistake and indicate the correction.
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Please note: There is a minor mistake in the video with sinx and cosx. I did put a brief visual note at the 04:15 mark in the video, but I probably should have let that visual note stay on the screen longer for you to catch it.

melvinvaughn
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You also forgot e power of y at the end 7:07

nightshadow
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fy= _e^x siny + sinx e^y not to fy= _e^x siny + sinx only

Aries