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Questions › JNU › JNU SSS 2020 › Q45
1 markMathematics › Multivariable calculus › Partial derivatives and differentiabilityModerateabout 1 min

JNU SSS 2020 Question 45: Multivariable calculus

What will be the second order direct partial derivative VXXV_{XX}VXX​ and VyyV_{yy}Vyy​ respectively for given Cobb-Douglas function V=4X0.4Y0.5V=4X^{0.4}Y^{0.5}V=4X0.4Y0.5 ?

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What will be the second order direct partial derivative V_(XX) and V_(yy) respectively for given Cobb-Douglas function V=4X⁰·⁴Y⁰·⁵? (A) 0.98x⁻¹·⁶y⁰·⁵, -X⁰·⁴Y⁻¹·⁷ (B) 0.96x⁻¹·⁶y⁰·⁵, -X⁰·⁴Y⁻¹·⁵ (C) 0.196x⁻¹·⁶y¹·⁵, -X⁰·⁴Y⁻¹·⁵ (D) 0.06x⁻³·⁶y⁰·⁵, -X⁰·⁴Y⁻¹·⁵

Also written as: What will be the second order direct partial derivative V_(XX) and V_(yy) respectively for given Cobb-Douglas function V=4X^(0.4)Y^(0.5)?

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 JNU SSS 2020 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.