E= dP/PdQ/Q = d(1)/1d(a−b)/(a−b)
Question
E= dP/PdQ/Q = d(1)/1d(a−b)/(a−b)
Solution
The given equation is E = dP/P * dQ/Q = d(1)/1 * d(a-b)/(a-b)
Step 1: Simplify the right side of the equation
The derivative of a constant is zero. So, d(1)/1 = 0.
Similarly, the derivative of a constant difference (a-b) is also zero. So, d(a-b)/(a-b) = 0.
Therefore, the right side of the equation simplifies to 0 * 0 = 0.
Step 2: Simplify the left side of the equation
The left side of the equation is E = dP/P * dQ/Q.
This is the formula for the elasticity of a function, which measures the percentage change in one variable (P or Q) in response to a one percent change in another variable (P or Q).
Without specific functions for P and Q, we cannot further simplify this side of the equation.
Step 3: Equate the two sides
So, we have E = 0.
This means that the elasticity of the function is zero, indicating that changes in P or Q have no effect on each other.
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