12. f'(x) for f(x) = cosh(4x² +1) 13. f'(t) for f(t) = arctan

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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### Calculus Exercises: Finding Derivatives

#### Problem 12
Find the derivative \( f'(x) \) for the function \( f(x) = \cosh(4x^2 + 1) \).

#### Problem 13
Find the derivative \( f'(t) \) for the function \( f(t) = \arctan\left(\frac{2}{t}\right) \).

These exercises involve calculating derivatives using chain rule and other differentiation techniques.
Transcribed Image Text:### Calculus Exercises: Finding Derivatives #### Problem 12 Find the derivative \( f'(x) \) for the function \( f(x) = \cosh(4x^2 + 1) \). #### Problem 13 Find the derivative \( f'(t) \) for the function \( f(t) = \arctan\left(\frac{2}{t}\right) \). These exercises involve calculating derivatives using chain rule and other differentiation techniques.
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