Write the value of the derivation of f(x) = |x – 1| + |x – 3| at x = 2.

Question

Philoid · Accepted Answer

As we need to differentiate f(x) = |x – 3| + |x – 1|

We know the property of a mod function that–

∴

Hence,

As

∴

From above equation, we can say that

value of derivative at x = 2 is 0 ⇒ f’(2) = 0