8. Find the derivative of the f(x) = ntan x at x = " А. п B. 2 In(1) C. π In (π) D. 2 n In() E. 2n F. None of the above

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 8:** Find the derivative of the function \( f(x) = \pi^{\tan x} \) at \( x = \frac{\pi}{4} \).

**Options:**

A. \( \pi \)

B. \( 2 \ln(\pi) \)

C. \( \pi \ln(\pi) \)

D. \( 2 \pi \ln(\pi) \)

E. \( 2 \pi \)

F. None of the above
Transcribed Image Text:**Question 8:** Find the derivative of the function \( f(x) = \pi^{\tan x} \) at \( x = \frac{\pi}{4} \). **Options:** A. \( \pi \) B. \( 2 \ln(\pi) \) C. \( \pi \ln(\pi) \) D. \( 2 \pi \ln(\pi) \) E. \( 2 \pi \) F. None of the above
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