Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve RD Sharma Class 12 Chapter 11 Higher Order Derivatives Exercise Multiple Choice Questions Maths Textbook Solution Question 1

Please Solve RD Sharma Class 12 Chapter 11 Higher Order Derivatives Exercise Multiple Choice Questions Maths Textbook Solution Question 1

Answers (1)

Answer:

                (b)

Hint:

We must know the derivative of  \cos x and  \sin x .

Given:

                \begin{aligned} &x=a \cos n t-b \sin n t \\\\ &\end{aligned}

Explanation:

                  \begin{aligned} &x=a \cos n t-b \sin n t \\\\ &\end{aligned}

                 \frac{d x}{d t}=a(-\sin n t) \times n-b(\cos n t) \times n \\\\

                \frac{d x}{d t}=-n a \sin n t-n b \cos n t

Differentiate on both sides,

                \begin{aligned} &\frac{d^{2} x}{d t^{2}}=-n a(\cos n t) \times n-n b(-\sin n t) \times n \\\\ \\ \end{aligned}

                \frac{d^{2} x}{d t^{2}}=-n^{2} a(\cos n t)+n^{2} b(\sin n t)

                \frac{d^{2} x}{d t^{2}}=n^{2}[-a \cos n t+b \sin n t] \\\\

                \frac{d^{2} x}{d t^{2}}=-n^{2} x

               

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question