Example of Chain Rule for Partial Derivatives

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Multivariable Calculus: Find del w/del s and del w/del t if w(x, y) = x^2 - y^2, x(s,t) = cos(s+3t) and y(s,t) = sin(s+3t). We verify the answer by using double angle formulae for sine and cosine.

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@hvhfyjtdhf You're welcome! I'm actually a bigger fan of functional strength training these days. Lots of pushups. - Bob

MathDoctorBob
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You're welcome! You mean meatheads like us. It takes me a while, but I get there sooner or later. - Bob

MathDoctorBob
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hey doc... this video was helpful... but plz giv a detailed xplaination to the rule u hav used... the chain rule for generic fuction...
suppose we need to differential f(u, v) where u=f(x, y) and v=f(x, y)

inspiredrabbits
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Did he solve for s, or is that implicit

Jeanjuan