Summation of e^x and proof that the derivative of e^x=e^x Hard Problem: The expression ex can be written asex=n=0xnn!Where n! = n(n − 1)(n − 2) ... (2)(1). Show thatdex = exdxHint: Write out the first few terms of the summation. Recall that 0!=1.

To solve this problem, we need to show that the derivative of ( ex ) with respect to ( x ) equals (…

Answered: Hard Problem: The expression ex can be…

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.6P

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Hard Problem: The expression ex can be written as ex = n=0 xn n! Where n! = n(n − 1)(n − 2) ... (2)(1). Show that d ex = ex dx Hint: Write out the first few terms of the summation. Recall that 0!=1.