Class 12 Exam > Class 12 Questions > If x = a(cosx+xsinx), y = a(sinx - xcosx), fi...
Start Learning for Free
If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2
Most Upvoted Answer
If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2
Given: x = a(cosx xsinx), y = a(sinx - xcosx)
To find: d^2 y/dx^2
Solution:
Step 1: Find dy/dx
Given, y = a(sinx - xcosx)
Differentiating both sides w.r.t x, we get
dy/dx = a(cosx - cosx + xsinx) = axsinx
Step 2: Find d^2 y/dx^2
Differentiating dy/dx w.r.t x, we get
d^2 y/dx^2 = a(cosx + cosx + xcosx) = 2acosx + axcosx
Therefore, d^2 y/dx^2 = 2acosx + axcosx is the required second derivative of y w.r.t x.
Final Answer: d^2 y/dx^2 = 2acosx + axcosx
To find: d^2 y/dx^2
Solution:
Step 1: Find dy/dx
Given, y = a(sinx - xcosx)
Differentiating both sides w.r.t x, we get
dy/dx = a(cosx - cosx + xsinx) = axsinx
Step 2: Find d^2 y/dx^2
Differentiating dy/dx w.r.t x, we get
d^2 y/dx^2 = a(cosx + cosx + xcosx) = 2acosx + axcosx
Therefore, d^2 y/dx^2 = 2acosx + axcosx is the required second derivative of y w.r.t x.
Final Answer: d^2 y/dx^2 = 2acosx + axcosx
Community Answer
If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2
Sec^3 x/ax
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2
Question Description
If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2.
If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2.
Solutions for If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 defined & explained in the simplest way possible. Besides giving the explanation of
If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2, a detailed solution for If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 has been provided alongside types of If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 theory, EduRev gives you an
ample number of questions to practice If x = a(cosx+xsinx), y = a(sinx - xcosx), find d^2 y/dx^2 tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup