Step by step solution to "Find all first partial derivatives. f(x,y)=9x3+4y−5 fx(x,y)= fy(x,y)=" - Plainmath

totalmente80sm9

Answered question

2021-11-20

Find all first partial derivatives.

f (x, y) = 9 x^{3} + 4 y - 5

f_{x} (x, y) =

f_{y} (x, y) =

Answer & Explanation

Pulad1971

Beginner2021-11-21Added 22 answers

Step 1

f (x, y) = 9 x^{3} + 4 y - 5

\frac{\partial}{\partial x} (f (x, y)) = \frac{\partial}{\partial x} (9 x^{3} + 4 y - 5)

f_{x} (x, y) = 27 x^{2}

Step 2

f_{x} (x, y) = 27 x^{2}

\frac{\partial}{\partial y} (f (x, y)) = \frac{\partial}{\partial y} (9 x^{3} + 4 y - 5)

f_{y} (x, y) = 4

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