Math Problem Statement

Given the function f, of, x, equals, e, start superscript, x, minus, 1, end superscript, commaf(x)=e x−1 , write an expression that represents the derivative of ff using the limit shown below. You do not have to simplify your answer.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Exponential Functions
Derivatives
Limits

Formulas

Limit definition of the derivative: f'(x) = lim(h -> 0) [(f(x + h) - f(x)) / h]
Exponential function: f(x) = e^(x - 1)

Theorems

Derivative of exponential functions
Limit definition of derivative

Suitable Grade Level

Grades 11-12 (AP Calculus or equivalent)