Write formulas for the indicated partial derivatives for the multivariable function.f(x,y)=7x^2+9xy+4y^3a)(delf)/(delx)b)(delf)/(dely)c)(delf)/(delx)|_(y=9)

nagasenaz 2021-03-18 Answered

Write formulas for the indicated partial derivatives for the multivariable function.
f(x,y)=7x2+9xy+4y3
a)fx
b) fy
c)fxy=9

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sweererlirumeX
Answered 2021-03-19 Author has 91 answers
f(x,y)=7x2+9xy+4y3 (1)
a) Differentiating with respect to x partially, we have
fx=x[7x2+9xy+4y3]
fx=72x+9y+0
fx=14x+9y
b) Differentiating with respect to y partially, we have
fy=y[7x2+9xy+4y3]
fy=0+9x+43y2
fy=9x+12y2
c) fxy=9=14x+99
fxy=9=14x+81
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