Economic significance of the first derivative of consumption function

Economic significance of the first derivative of consumption function

If you mean consumption as a function of income,
Then the first derivative of the consumption function refers to the marginal propensity to consume, that is, for every additional unit of income, how many units are consumed, or the proportion used for consumption in the extra unit of income
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Economic significance of derivative I want to ask the meaning of derivative in economics, including the concepts of margin and elasticity

Marginal quantity is the marginal quantity. In economics, all marginal quantities are expressed by derivatives. Marginal quantity is, for example, marginal profit, which is the profit obtained by adding one unit of input. Marginal quantity is the XX obtained by each unit XX due to its change
Elasticity is, for example, the elasticity of demand, the degree of people's demand for something, or the degree of importance. For example, the Chinese demand for rice is high, and even if the price rises, people still buy it. Americans don't eat rice, and they don't buy it as soon as the price rises. Therefore, elasticity is a measure of the importance of something. If there is no elasticity, it must be done. If there is great elasticity, it can be done

What is the geometric and economic significance of derivative?

The geometric meaning of derivative is that the derivative is geometrically expressed as the tangent slope. For a univariate function, the derivative of a point is the tangent slope of a point on a plane graph; For a binary function, the derivative of a point is the tangent slope of a point on the spatial graph
The economic meaning of derivative is marginal quantity. In economics, all marginal quantities are expressed by derivative. Marginal quantity is, for example, marginal profit, which is the profit obtained by adding one unit of input. Marginal quantity is XX obtained by XX per unit due to its change
Elasticity is, for example, the elasticity of demand, the degree of people's demand for something, or the degree of importance. For example, the Chinese demand for rice is high, and even if the price rises, people still buy it. Americans don't eat rice, and they don't buy it as soon as the price rises. Therefore, elasticity is a measure of the importance of something. If there is no elasticity, it must be done. If there is great elasticity, it can be done

A mathematical derivative problem Given the function f (x) = ax-e ^ x (a ≠ 0), if there is x0 so that f (x0) ≥ 0, find the value range of A

A0, Let f '(x) = A-E ^ x = 0, and get x = ln (a). At this time, f (x) gets the maximum value, only f (LN (a)) > = 0, that is, a > = E

It is known that the even function f (x) defined on R satisfies f (x + 2) • f (x) = 1, which is constant for X ∈ R, and f (x) > 0, then f (119) = ___;

∵f(x+2)＝1
F (x), f (x + 4) = f (x), so period T = 4, f (119) = f (3)
Let x = - 1, f (1) • f (- 1) = 1, ‡ f (1) = 1, f (3) = 1
f(1)＝1．
So the answer is: 1

Let f (x) be a continuous function on a closed interval [0,1], and 0

Let the function g (x) = f (x) - X and G (x) be a continuous function on the closed interval [0,1];
From 00, f (1) < 1
g(1)=f(1)-1<0,g(0)=f(0)-0>0
g(1)*g(0)<0
According to the zero point existence theorem, the existence §∈ (0,1) can be obtained, so that G (§) = 0, that is, f §) = §