Compute the derivatives indicated. f(x,y)=3x^{2}y-6xy^{4}, \frac{\partial

beljuA 2021-10-01 Answered
Compute the derivatives indicated.
f(x,y)=3x2y6xy4,2fx2 and 2fy2
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Expert Answer

Sadie Eaton
Answered 2021-10-02 Author has 104 answers

Step 1
Here given as
f(x,y)=3x2y6xy4
Now
fx=x(3x2y6xy4)
=(6xy6y4)
2fx2=x(6xy6y4)
2fx2=6y
Step 2
Thus
fy=y(3x2y6xy4)
=(3x224xy3)
2fy2=y(3x224xy3)
2fy262xy2

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