Home
Class 12
MATHS
Find the second order derivatives of the...

Find the second order derivatives of the functions given.
`x.cos x`

Text Solution

AI Generated Solution

To find the second-order derivative of the function \( y = x \cos x \), we will follow these steps: ### Step 1: Differentiate the function to find the first derivative \( y' \). Using the product rule, which states that if \( y = u \cdot v \), then \( y' = u'v + uv' \), we identify: - \( u = x \) and \( v = \cos x \) Now, we differentiate \( u \) and \( v \): ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.5|18 Videos
  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos
  • DETERMINANTS

    NCERT ENGLISH|Exercise All Questions|116 Videos

Similar Questions

Explore conceptually related problems

Find the second order derivatives of the functions given. log x

Find the second order derivatives of the functions given. e^(6x)cos3x .

Find the second order derivatives of the functions given. x^(20)

Find the second order derivatives of the functions given. x^3logx

Find the second order derivatives of the functions given. sin(log x)

Find the second order derivatives of the functions given. e^xsin5x .

Find the second order derivatives of the functions given. log (log x)

Find the second order derivatives of the functions given. tan^(-1)x .

Find the second order derivatives of the functions given x^2+3x+2

Find the second order derivative of x=siny