Hello, just a quick question about interpreting the partial derivative as a rate of change.(adsbygoogle = window.adsbygoogle || []).push({});

My example is the area of a parallelogram: A = absinθ, with a and b being the adjecent sides with θ being the angle between them.

We found the rate of change of the area A with respect to the side a by holding b and θ constant:

(for a = 10, b = 20, θ = ∏/6)

∂A/∂a = bsinθ

∂A/∂a = 20sin(∏/6) = 10.

Does this mean for every unit increment of a, A increases 10 times that, ie. increasing a by 2 increases A by 20?

Thanks for reading.

Lee

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# Simple partial derivative question

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