Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. find the derivative of the function f t 6t sin nt

Find the derivative of the function f t 6t sin nt Step 1 We note...

60.1K

Verified Solution

Question

Calculus

image

Find the derivative of the function f t 6t sin nt Step 1 We note that the given function f t 6t sin nt is the product of two differentiable functions of the form f t g t h t where g t 6t and h t sin t However before we can apply the product rule we must first find h t Doing so requires the use of the chain rule because h t sin nt is a composite function with u it and h u sin u Furthermore we recall that in general if y sin u where u is a differentiable function of t then by the chain rule we have the following So we first find U It du dt Step 2 70 dy dy du du dt dt itor du dt cos u COC Tt 70 du We let u t and we determined that dt Applying these to the result from the chain rule for y sin u gives us the following dy cos u cos nt du dt dt Therefore we have the following h t sin at du dt TU X 15 Vo 0

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Statistics
1.2K views

James conducts a survey to study the relationship between cell phone use and grades earned...

Accounting
1.2K views

The following selected transactions were taken from the books ofRipley Company for Year 1:On...The...

Biology
1.2K views

1.) What kinds of drugs would you develop to combat viral infections? 2.) Frederick Griffith used mice...

Physics
1.2K views

An electron is placed in a region with a 1010 V/m electric field directed in the...

Psychology
1.2K views

TOPIC: TEEN MOMS ARE MORE LIKELY TO GET POSTPARTUM DEPRESSION than older moms Submit an APA-formatted reference...

Biology
1.2K views

The United States began as a group of 13 colonies under the rule of which...

Physics
1.2K views

Two batteries with emf 12 V and 13 V are connected in parallel across a...

Basic Math
1.2K views

9 113 A long lost relative died and has left you 15 000 Your parents...

Accounting
1.2K views

Rowen, Inc. had pre-tax accounting income of 900,000 and a tax rate of 40% in...

Accounting
1.2K views

Harris Fabrics computes its plantwide predetermined overhead rate annually on the basis of direct labor-hours....

Finance
1.2K views

Value of an annuity versus a single amount Personal Finance Problem Assume that you just...

Accounting
1.2K views

Question: Answer Choices: Baily Inc. recorded operating data as follows:...