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...

60.2K

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: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

12x 150 75 180 10 75 330 156x 24 750 X 12 x 12 10x...

Geometry
Q

Discuss the Global Financial Crisis (GFC). You may focus on particular aspects of the GFC. You...

Finance
Q

The lake near Grassy Narrows is contaminated with mercury from an old paper mill, which has been...

Finance
Q

Each year, many people get a flu shot to protect themselves from the flu. Why give...

Biology
Q

K Specify the number of ways to perform the task described Give your answers using...

Basic Math
Q

(1 point) Perform the indicated operation. Note that thedenominators are different. Simplify the result, if...

Basic Math
Q

8 h 25

Algebra
Q

A seller is selling some production to some buyers. Buyer's utility function is given...

Accounting
Q

pregunta en fotos 3. Dado las funciones f(x)=3x4,g(x)=(x+1)2 y p(x)=x1x+2...

Accounting
Q

Fogerty Company makes two products-titanium Hubs and Sprockets. Data regarding the two products follow Direct...

Accounting
Q

1 Required information PA8-4(Algo) Accounting for Accounts and Notes Receivable Transactions [LO 8-2, LO...

Accounting
Q

What are three examples of Paid-In Capital?

Accounting