Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET2012MathematicsDifferentiation

If f(x)=|x-3| , then f^ (3) is

Options

  1. A-1
  2. B1
  3. C0
  4. Ddoes not exist

Correct answer

D. does not exist

Step-by-step solution

Given, f(x)=|x-3| Redefine this function: f(x)= array cc 3-x, & x 3 array . f^ (x)= aligned -1, & x 3 aligned . It is clear that, L f^ (3) R f^ (3) . f^ (3) does not exist.

Practice Differentiation on Quantrex Academy →

More from Differentiation

The domain of the derivative of the function f(x)= x 1+|x| is 2025If x= 2^ cosec ⁻¹ t and y= 2^ ⁻¹ t ,|t| 1 then d y d x = 2025If (a+ 2 b x)(a- 2 b y)=a^2-b^2 where a>b>0 , then at ( 4 , 4 ) , dy dx = 2025If x y - y x =0 , then d y d x = 2025If y = ( _ x x )^ x , then dy dx = 2025If f(x)=x^ Sec ⁻¹ x , then f^ (2)= 2025If y= x^4 3 x-5 (x^2-3 )(2 x-3) , then ( d y d x )_ x=2 = 2025If x^2+y^2+ y=4 , then the value of d^2 y d x^2 at x=-2 is 2025 Full Differentiation list All MHT CET PYQs