6 cos(30) sin(30) is the derivative of what function? 6x (6x2+7)2 ;is the derivative of what function? eat is the derivative of what function? e 6t

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

one problem with 3 sub parts. please help.

**Mathematical Derivative Questions**

1. \( 6 \sqrt{\cos(3\theta)} \sin(3\theta) \) is the derivative of what function?

2. \(\frac{6x}{(6x^2+7)^2}\) is the derivative of what function?

3. \(\frac{-e^{3t}}{\sqrt{1-e^{6t}}}\) is the derivative of what function?

**Explanation:**
These questions ask for the original functions whose derivatives match the given expressions. Solving these problems involves understanding and applying integration techniques.
Transcribed Image Text:**Mathematical Derivative Questions** 1. \( 6 \sqrt{\cos(3\theta)} \sin(3\theta) \) is the derivative of what function? 2. \(\frac{6x}{(6x^2+7)^2}\) is the derivative of what function? 3. \(\frac{-e^{3t}}{\sqrt{1-e^{6t}}}\) is the derivative of what function? **Explanation:** These questions ask for the original functions whose derivatives match the given expressions. Solving these problems involves understanding and applying integration techniques.
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 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