The number of points where f x = x 2 - 3 x - 4 is non-differentiable is

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The number of points where

f (x) = |x^{2} - 3 |x| - 4|

is non-differentiable is

MathematicsContinuity and DifferentiabilityJEE Main

Options:

A $1$
B $2$
C $3$
D $4$

Solution:

2128 Upvotes Verified Answer

The correct answer is:

3

Graph of

f (x) = |x^{2} - 3 |x| - 4|

is

From the graph, we see that

f (x)

is non-differentiable at

x = 0, - 4, 4

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