Partial differentation Flashcards

1
Q

What is partial differentation?

A

Partial derivatives are defined as derivatives of a function of multiple variables when all but the variable of interest are held fixed during the differentiation.

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2
Q

In economics what is the partial derative of q(k,l) with respect to k then L?

A
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3
Q

How do we denote partial derative of f with respect to x?

A

It uses a curly d

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4
Q

How do we denote partial derative of f with respect to y?

A
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5
Q

What is the simple way to calculate partial derative?

A

you just keep the letter than are you are differentating constant and differentatie the rest.

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6
Q
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7
Q
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8
Q

What are the 4 second order partial derative equations in shorthand?

A

Remember that fyx = fxy

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9
Q
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10
Q
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11
Q

What is the look of a homoegenous function

A
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12
Q

What does it mean if a function f(x,y) is homogenous to degree r

A
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13
Q

What is this called?

A

Cobb douglas function

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14
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15
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16
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17
Q

In economics how can we see homeogeonous functions?

A

as telling us about how our outputs change when we scale up our inputs.

18
Q

If we increase our inputs f(x,y) by a factor of lander, what is our outputs?

A
19
Q

What does lander to the power of r mean?

A
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21
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22
Q

What is euler theorem?

A

if a function f(x,y) is an homogenous function to degree r then we get below.

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24
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25
Q

Carry on from last here

A

carry from from the economics of eulers theorem.