Question
Asked Oct 2, 2019
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Use the Chain Rule to find the indicated partial derivatives.
w2),
R In(u2v
v = 6x - y,
w 5xy;
и 3D х+9у,
R dR when x = y = 2
дх ду
ӘR
дх
ду
X
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Use the Chain Rule to find the indicated partial derivatives. w2), R In(u2v v = 6x - y, w 5xy; и 3D х+9у, R dR when x = y = 2 дх ду ӘR дх ду X

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Expert Answer

Step 1

Given,

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R In (u +v +w2) u x9y, v6x-y, w=5xy R -In[ (x +9y) +(6x-y+(5xy)] - In (r 18ry+81ly 36x2 -12y y' +25x'y) -In (37x2 82y 6xy +25x'y')

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Step 2

Now partially differentiating with respect to x, we get

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OR 1 x (37x2 82y' +6xy +25.x'y*)( 74x +6y +50xy*) 74x 6y 50xy ox 37x82y +6xy +25x y

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Step 3

Now partially differentiating w...

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OR 1 ay(37x 82y' +6xy +25.x'y*)(164y +6x +50x'y) 164y6x 50x'y y 37x2 82y +6xy+25x^y OR

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Tagged in
MathCalculus

Derivative