Find both first partial derivatives. f(x, y) = \sqrt{2x+y^{3}}

Efan Halliday

Efan Halliday

Answered question

2021-04-25

Find both first partial derivatives. f(x,y)=2x+y3

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-04-27Added 107 answers

Given,
f(x,y)=2x+y3
Differentiating with respect to x, keeping y as constant, we get
fx=122x+3y(2x+y3)x[d(x)dx=12x]
fx=122x+y3[2(1)+0]
fx=12x+y3
Differentiating with respect to y, keeping x as constant, we get
fy=122x+y3(2x+y3)y[d(x)dx=12x]
fy=122x+y3[0+3y2]
fy=3y222x+y3

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