Find all the second-order partial derivatives of the functions g(x,

Mary Hammonds

Mary Hammonds

Answered question

2021-12-06

Find all the second-order partial derivatives of the functions g(x,y)=x2y+cosy+ysinx

Answer & Explanation

vicki331g8

vicki331g8

Beginner2021-12-07Added 37 answers

Given equation, 
g(x,y)=x2y+cosy+ysinx 
Its first order derivative will be solved first.
gx(x,y)=2xy+ycosx 
gy(x,y)=x2siny+sinx 
Let's find its partial derivative of second order now.
g×=2yysinx 
gxy=2x+cosx 
gyy=cosy 
yyx=2x+cosx

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