Which of the following statements is false concerning partial derivatives? Consider the total cost function where Q is output level. TC-f(Q.r) O The first partial TC with respect to Q gives the instantaneous rate of change of the TC function with respect to output. The second partial of TC with respect to Q gives the instantaneous rate of change of the MC function with respect to output. O The cross partial derivative of TC with respect to Q and then requals the cross partial of TC with respect to r and then Q. order of differentiation does not matter. To minimize this function, the first order conditions (FOC) are to set the first partials equal to zero and solve for Q and r. O The second order partial derivatives give the slope of the original function, TC.

Microeconomic Theory
12th Edition
ISBN:9781337517942
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Chapter9: Production Functions
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Problem 9.11P
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Which of the following statements is false concerning partial derivatives? Consider the total cost
function where Q is output level.
TC-f(Q,r)
O The first partial TC with respect to Q gives the instantaneous rate of change of the TC function with respect
to output.
The second partial of TC with respect to Q gives the instantaneous rate of change of the MC function with
respect to output.
The cross partial derivative of TC with respect to Q and then requals the cross partial of TC with respect to r
and then Q. order of differentiation does not matter.
To minimize this function, the first order conditions (FOC) are to set the first partials equal to zero and solve
for Q and r.
The second order partial derivatives give the slope of the original function, TC.
Transcribed Image Text:Which of the following statements is false concerning partial derivatives? Consider the total cost function where Q is output level. TC-f(Q,r) O The first partial TC with respect to Q gives the instantaneous rate of change of the TC function with respect to output. The second partial of TC with respect to Q gives the instantaneous rate of change of the MC function with respect to output. The cross partial derivative of TC with respect to Q and then requals the cross partial of TC with respect to r and then Q. order of differentiation does not matter. To minimize this function, the first order conditions (FOC) are to set the first partials equal to zero and solve for Q and r. The second order partial derivatives give the slope of the original function, TC.
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