g(x) g'(5) = 2 X 13 1+t2 dt

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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The image contains a mathematical expression and a question related to calculus. Here is the transcription:

---

**Function Definition:**

\[ g(x) = \int_{2}^{x} \frac{13}{1 + t^2} \, dt \]

**Question:**

Find the derivative: 

\[ g'(5) = \, \text{[Enter your answer in the box]} \]

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The problem asks for the derivative of the function \( g(x) \) at \( x = 5 \). The function \( g(x) \) is defined as an integral from 2 to \( x \) of the function \(\frac{13}{1 + t^2}\) with respect to \( t \).
Transcribed Image Text:The image contains a mathematical expression and a question related to calculus. Here is the transcription: --- **Function Definition:** \[ g(x) = \int_{2}^{x} \frac{13}{1 + t^2} \, dt \] **Question:** Find the derivative: \[ g'(5) = \, \text{[Enter your answer in the box]} \] --- The problem asks for the derivative of the function \( g(x) \) at \( x = 5 \). The function \( g(x) \) is defined as an integral from 2 to \( x \) of the function \(\frac{13}{1 + t^2}\) with respect to \( t \).
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