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Questions › JNU › JNU SSS 2012 › Q97
1 mark, −0.25Mathematics › Limits, continuity and differentiability › Derivatives in economic use: elasticity, growth and inflectionModerateabout 2 min

JNU SSS 2012 Question 97: Limits, continuity and differentiability

If z=ef(x, y)z = e^{f(x,\ y)}z=ef(x, y), where f(x, y)=x2+y2f(x,\ y) = x^2 + y^2f(x, y)=x2+y2, what is the elasticity of zzz with respect to xxx at (x, y)=(1, 2)(x,\ y) = (1,\ 2)(x, y)=(1, 2)?

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If z = e^(f(x, y)), where f(x, y) = x² + y², what is the elasticity of z with respect to x at (x, y) = (1, 2)? (A) 1 (B) 2 (C) 4 (D) None of the above

Also written as: If z = e^(f(x, y)), where f(x, y) = x^2 + y^2, what is the elasticity of z with respect to x at (x, y) = (1, 2)?

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Derivatives in economic use: elasticity, growth and inflection, part of Limits, continuity and differentiability in Mathematics.

Interpreting derivatives as growth rates and elasticities, and the meaning of an inflection point.

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Practise Limits, continuity and differentiabilityMore on Derivatives in economic use: elasticity, growth and inflection

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