Let f: R → R be differentiable at c R and f(c) = 0. If g(x) = |f(x)|, then at x = c, g is:

(A) differentiable if f '(c) = 0

(B) differentiable if f '(c) ≠ 0

(D) not differentiable if f '(c) = 0

Limit, Continuity and Differentiability: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Apr, Morning shift · Q4185

JEE Main 201910 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let f : R

\to

R be differentiable at c

\in

R and f(c) = 0. If g(x) = |f(x)| , then at x = c, g is :

JEE Main 2019 · 10 Apr, Morning shift · Q4185

JEE Main 201910 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let f : R

\to

R be differentiable at c

\in

R and f(c) = 0. If g(x) = |f(x)| , then at x = c, g is :