d Find (2"). Type In(x) for the natural logartihtm dx function.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

Find \(\frac{d}{dx} \left(2^x\right)\). Type ln(x) for the natural logarithm function.

---

**Instructions for Solution:**

To differentiate \(2^x\), use the formula for the derivative of an exponential function: 

\[
\frac{d}{dx} \left(a^x\right) = a^x \ln(a)
\]

In this case, \(a = 2\), so:

\[
\frac{d}{dx} \left(2^x\right) = 2^x \ln(2)
\]

Type "ln(x)" when using the natural logarithm function.
Transcribed Image Text:**Problem Statement:** Find \(\frac{d}{dx} \left(2^x\right)\). Type ln(x) for the natural logarithm function. --- **Instructions for Solution:** To differentiate \(2^x\), use the formula for the derivative of an exponential function: \[ \frac{d}{dx} \left(a^x\right) = a^x \ln(a) \] In this case, \(a = 2\), so: \[ \frac{d}{dx} \left(2^x\right) = 2^x \ln(2) \] Type "ln(x)" when using the natural logarithm function.
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