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Multivariable calculus question:



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\[\large \frac{dz}{d \theta } = \frac{dz}{dx}\frac{dx}{d \theta} + \frac{dz}{dy}\frac{dy}{d \theta}\]

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i am given \[\frac{dz}{dx} = 1\] at (3,4) and\[\frac{dz}{dy} = 2\] at (3,4)

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\[\frac{dx}{d \theta} = \sqrt{5}\sin (\theta )\]

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\[\frac{dy}{d \theta} = \sqrt{5}\cos( \theta )\]

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@phi @amistre64 @Hero @myininaya @ash2326

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put \( \theta =\arctan( 4/3) \)