Question Detail
Question
Given the function y = eˣ, the expression f(x+h) - f(x) is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
Given f(x) = eˣ.We need to find f(x+h) - f(x).f(x+h) = e^(x+h).So, f(x+h) - f(x) = e^(x+h) - eˣ.Using the property of exponents, e^(x+h) = eˣ * eʰ.Therefore, e^(x+h) - eˣ = eˣ * eʰ - eˣ.Factor out eˣ: eˣ (eʰ - 1).
Hint
Recall the properties of exponents, specifically how to expand e^(a+b).