JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

f

is defined in

[-5,5]

\begin{aligned} f(x) & =x \text { if } x \text { is rational } \\ & =-x \text { if } x \text { is irrational. Then } \end{aligned}

View answer and explanation

Correct option: B

f(x)

is discontinuous at every

x

, except

x=0

Option B is correct because the function is discontinuous at every x except x=0, where it is continuous.

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\frac{{dy}}{{dx}}

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