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99 Percentile Qs Bank for JEE MainMathematicsContinuity and Differentiability

The function f(x)=e^ -|x| is

Options

  1. Acontinuous everywhere but not differentiable at x=0
  2. Bcontinuous and differentiable everywhere
  3. Cnot continuous at x=0
  4. DNone of the above

Correct answer

A. continuous everywhere but not differentiable at x=0

Step-by-step solution

Given, f(x)= array r e^ -x , x 0 e^ x , x Hence, it is clear from the figure that f(x) is continuous everywhere and not differentiable at x=0 .

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