If f(x) = sin x, find ƒ'(x) 5 5 sin(x) cos(x) Find f'(2)

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...
icon
Related questions
Question
### Calculus Exercise:

**Problem Statement:**

Given the function \( f(x) = \sin^5 x \), find the derivative \( f'(x) \).

**Solution:**

Using the chain rule for derivatives, the derivative of \( f(x) = \sin^5 x \) is:

\[ f'(x) = 5 \sin^4(x) \cos(x) \]

**Next Step:**

To find \( f'(2) \), further calculation is required using the derivative function \( f'(x) \).
Transcribed Image Text:### Calculus Exercise: **Problem Statement:** Given the function \( f(x) = \sin^5 x \), find the derivative \( f'(x) \). **Solution:** Using the chain rule for derivatives, the derivative of \( f(x) = \sin^5 x \) is: \[ f'(x) = 5 \sin^4(x) \cos(x) \] **Next Step:** To find \( f'(2) \), further calculation is required using the derivative function \( f'(x) \).
If \( f(x) = 2 \sec(3x) \), find \( f'(x) \).

- **Solution:** \( 6 \sec(3x) \tan(3x) \)

Find \( f'(5) \).

- **Solution:** [Blank for user input]
Transcribed Image Text:If \( f(x) = 2 \sec(3x) \), find \( f'(x) \). - **Solution:** \( 6 \sec(3x) \tan(3x) \) Find \( f'(5) \). - **Solution:** [Blank for user input]
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning