Calc11_4 PartialDeriv - change the value of the function...

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y x z 10 10 100 An Introduction to Partial Derivatives Greg Kelly, Hanford High School, Richland, Washington
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y x z ( 29 2 2 , 100 f x y x y = - - 10 10 100 When we have functions with more than one variable, we can find partial derivatives by holding all the variables but one constant. 2 df x dx = - 2 2 2 d f dx = - 2 df y dy = - 2 2 2 d f dy = - Note: df dx is also written as x f (eff sub ecks)
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y x z ( 29 2 2 , 100 f x y x y = - - 10 10 100 2 df x dx = - 2 df y dy = - df dx would give you the slope of the tangent in the plane y=0 or in any plane with constant y . In other words, how is changing one variable going to
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Unformatted text preview: change the value of the function? → Mixed variables are also possible: ( 29 , cos x f x y x y ye = + cos x df y ye dx = + cos x d df d y ye dy dx dy = + 2 sin x d f y e dy dx = -+ sin x yx f y e = -+ sin x df x y e dy = -+ sin x d df d x y e dx dy dx =-+ 2 sin x d f y e dx dy = -+ sin x xy f y e = -+ ( 29 , cos x f x y x y ye = + Both answers are the same! π...
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