Question

The value of $c$ in Lagrange's theorem for the function $\left|x\right|$ in the interval $[-1,1]$ is

• A. $0$
• B. $1/2$
• C. $-1/2$
• D. non existent in the interval

Answer 1

Answer: (D)

non existent in the interval

$\left|x\right|$ is not derivative at zero so lagrange's theorem is not applicable that's why value of ${}^{\prime }{c}^{\prime }$ will not exist in the given interval.