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Questions › UoH › UoH 2011 › Q42
1 mark, −0.33Mathematics › Multivariable calculus › Partial derivatives and differentiabilityModerateabout 1 min

UoH 2011 Question 42: Multivariable calculus

The second -order own partial derivatives of the function: Z = X3^33 -9XY -3Y3^33

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The second -order own partial derivatives of the function: Z = X ³ -9XY -3Y ³ (A) 6X and -18Y (B) 10X and -18Y (C) 6X and 18Y (D) 6X and 10Y

Also written as: The second -order own partial derivatives of the function: Z = X ^3 -9XY -3Y ^3

Multivariable calculus has come up 32 times in 7 exams since 2007.

What this question tests

This question is on Partial derivatives and differentiability, part of Multivariable calculus in Mathematics.

Derivatives with respect to one variable at a time, and how they relate to continuity and differentiability.

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Question from the UoH 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.