Homework 6.2

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Homework 6.2

1. For the function

f (x, y) = y \ln (5 x + 6 y), f i n d f_{x} a n d f_{y}

$f_{x} = f_{y} =$

2. Find

f_{x} a n d f_{y} f (x, y P = 7 x \ln x y

$f_{x} = f_{y} =$

3. Find

f_{x} a n d f_{y} f o r f (x, y) = \frac{5 x}{7 y} - \frac{4 y}{3 x}

$f_{x} = f_{y} =$

4. Find the four second-order partial derivatives of

f (x, y) = 12 x y

f_{x x} = f_{y y} = f_{x y} = f_{y x} =

5. Find the four second-order partial derivatives for

f (x, y) = 6 x^{5} y^{7} + 4 x^{4} y^{6}

f_{x x} = f_{y y} = f_{x y} = f_{y x} =

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This question is taken from Math 2160 – Applied Calculus I » Fall 2021 » Homeworks