Questions from Calculus


Q: Find the indicated partial derivative. /

Find the indicated partial derivative.

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Q: Find the indicated partial derivative. f (x, y

Find the indicated partial derivative. f (x, y, z) = xyz; fz (e, 1, 0)

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Q: Use the definition of partial derivatives as limits (4) to

Use the definition of partial derivatives as limits (4) to find fx (x, y) and fy (x, y). f (x, y) = xy2 - x3y

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Q: Use the definition of partial derivatives as limits (4) to

Use the definition of partial derivatives as limits (4) to find fx (x, y) and fy (x, y).

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Q: Determine the signs of the partial derivatives for the function f whose

Determine the signs of the partial derivatives for the function f whose graph is shown. (a). fx (1, 2) (b). fy (1, 2)

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Q: Find all the second partial derivatives. f (x,

Find all the second partial derivatives. f (x, y) = ln (ax + by)

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Q: Find all the second partial derivatives. /

Find all the second partial derivatives.

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Q: Find all the second partial derivatives. v = sin (

Find all the second partial derivatives. v = sin (s2 - t2)

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Q: Find all the second partial derivatives. /

Find all the second partial derivatives.

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Q: Verify that the conclusion of Clairaut’s Theorem holds, that is,

Verify that the conclusion of Clairaut’s Theorem holds, that is, uxy = uyx. u = x4y3 - y4

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