MU DIVISION

Question 100

Differentiability★★Question Bank

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Question

Consider function

f

defined by

f(x)=\begin{cases}x^2,&x\ge0,\\-x^2,&x<0.\end{cases}

Which of the following statements are true? I.

f

is continuous at

x=0

. II.

f

is differentiable at

x=0

. III.

f'

is continuous at

x=0

. IV.

f'

is differentiable at

x=0

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