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::But the above formula is simply an approximation, and the higher precision provided by calculus is needed to prove this rigorously.  So we rewrite the above equation using calculus:
 
::But the above formula is simply an approximation, and the higher precision provided by calculus is needed to prove this rigorously.  So we rewrite the above equation using calculus:
   −
:::<math>P<sub>ed</sub>=\frac{dQ}{dP}{1/Q<sub>1</sub>}{1/P<sub>1</sub>}
+
:::<math>P<sub>ed</sub>=\frac{dQ}{dP}{1/Q<sub>1</sub>}{1/P<sub>1</sub>}</math>
    
::where you can think of "dQ" as replacing a small change in Q and "dP" replacing a small change in P.
 
::where you can think of "dQ" as replacing a small change in Q and "dP" replacing a small change in P.
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