Use app×
JEE MAIN 2024
JEE MAIN 2025 Foundation Course
NEET 2024 Crash Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.6k views
in Derivatives by (25.7k points)
closed by

If x = a cos nt – b sin nt, then \(\frac{d^2x}{dt^2}\) is 

A. n2

B. –n2

C. –nx 

D. nx

1 Answer

+1 vote
by (27.7k points)
selected by
 
Best answer

Correct Answer is (B) - n2 x

Given: 

x=a cos nt-b sin nt

\(\frac{dx}{dt}\)\(\)= -an sin nt - bn cos nt

\(\frac{d^2x}{dt^2}\)= -an2 cos nt + bn2 sin nt

= -n2 (a cos nt-b sin nt )

= - n2 x

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...