Find the first partial derivatives of the function given a) in regards to x b) in regards to y f(x, y) = x^{7}y

Cheyanne Leigh

Cheyanne Leigh

Answered question

2020-11-08

Find the first partial derivatives of the function given a) in regards to x b) in regards to y f(x,y)=x7y

Answer & Explanation

ensojadasH

ensojadasH

Skilled2020-11-09Added 100 answers

To take a partial derivative you treat all variables as constants except for the one youre taking the derivative of. So
xf(x,y)
=δδx(x7y)
yδδx(x7) [you factor out the y since its treated as constant in this case]
=7x6y
b)δδxf(x,y)
=δδx(x7y)
=x7δδx(y) [you factor out the x7 since its treated as constant in this case]
x=7

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