Find the partial derivatives, fx and fy, for f(x,y)=8x^{2}-6xy^{2}+3y+21

pedzenekO

pedzenekO

Answered question

2021-05-04

Find the partial derivatives, fx and fy, for f(x,y)=8x26xy2+3y+21

Answer & Explanation

d2saint0

d2saint0

Skilled2021-05-05Added 89 answers

Step 1
Given:
f(x,y)=8x26xy2+3y+21
Step 2
To find:
f(x,y)x,f(x,y)y
Step 3
Calculation:
f(x,y)=8x26xy2+3y+21
f(x,y)x=x(8x26xy2+3y+21)
=16x6y2
f(x,y)y=y(8x26xy2+3y+21)
=12xy+3 Step 4 Answer: f(x,y)x=16x6y2
f(x,y)y=12xy+3
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

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