Find (\partial w/\partial x)y,z if w=x^{2}+y-z+\sin t and x+y=t

Albarellak

Albarellak

Answered question

2021-05-04

Find (wx)y,z if w=x2+yz+sint and x+y=t

Answer & Explanation

Gennenzip

Gennenzip

Skilled2021-05-05Added 96 answers

Step 1
To find the partial derivatives.
Step 2
given that
w=x2+yz+sint
x+y=t
now
w=x2+yz+sin(x+y)
wx=x(x2+yx+sin(x+y))
=2x+cos(x+y)
wy=y(x2+yz+sin(x+y))
=1+cos(x+y)
wz=z(x2+yz+sin(x,y))
=1

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