Consider the production function given here : , where is output and is input (capital). For what value of will the marginal product of capital start decreasing?
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1 mark, −0.33MathematicsLimits, continuity and differentiabilityDerivatives in economic use: elasticity, growth and inflectionModerateabout 2 min
UoH 2019 Question 8: Limits, continuity and differentiability
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Consider the production function given here: y = -x³ + 6x² + 15x, where y is output and x is input (capital). For what value of x will the marginal product of capital start decreasing? (A) x = 1.5 (B) x = 2.0 (C) x = 15 (D) x = 3.0
Also written as: Consider the production function given here: y = -x^3 + 6x^2 + 15x, where y is output and x is input (capital). For what value of x will the marginal product of capital start decreasing?
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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