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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Question

Transcribed Image Text:The image presents a calculus problem that involves finding the derivative of a logarithmic function at a specific point.
**Problem Statement:**
"If \( h(x) = \ln(x + 4 + e^{-3x}) \), then \( h'(0) = ? \)"
**Answer Choices:**
- \( \frac{1}{5} \)
- nonexistent
- \( -\frac{2}{5} \)
- \( \frac{2}{5} \)
No graphs or diagrams are present in the image.
Expert Solution

Step 1: Introduction
This is question of differentiation
Here function given
We have to differentiate it and put value given .
Further calculation is given below
Step by step
Solved in 3 steps

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