Given the function , the second order own partial derivative () is equal to
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1 mark, −0.33MathematicsMultivariable calculusPartial derivatives and differentiabilityModerateabout 1 min
UoH 2018 Question 38: Multivariable calculus
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Given the function f(x₁, x₂) = x₁³ - 6x₁x₂ - x₂², the second order own partial derivative (f₂₂) is equal to (A) +2 (B) -2 (C) 6x₁ (D) 6x₁ - 2x₂
Also written as: Given the function f(x_1, x_2) = x_1^3 - 6x_1x_2 - x_2^2, the second order own partial derivative (f_(22)) is equal to
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 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.