Find the first partial derivatives of the following functions. g(x,y,z)=2x^{2}y-3xz^{4}+10y^{2}z^{2}

Cheyanne Leigh

Cheyanne Leigh

Answered question

2021-05-18

Find the first partial derivatives of the following functions.
g(x,y,z)=2x2y3xz4+10y2z2

Answer & Explanation

gotovub

gotovub

Skilled2021-05-19Added 98 answers

Step 1
g(x,y,z)=2x2y3xz4+10y2z2
gx=(2)(2)x21y3z4x11+0
gx=4xy3z4
Step 2
gy=2x2y110+10z2(2)y21
gy2x2+20z2y
gy2x2+20yz2
gz=03x(4)(z)41+10y2(2z21)
gz=12xz3+20y2z
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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