Differentiability Quiz 2 – Punjab Meritorious School Preparation Portal

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Which of the following functions is discontinuous at x = a -

tan (x – a)

sin (x – a)

cosec (x – a)

sec (x – a)

f is continuous at x = –1

f is differentiable at x = –1

f is continuous everywhere

f is differentiable for all x

one point

two points

three points

four points

[–1, 1]

R – {–1, 1}

R – (–1, 1)

None of these

In the following, discontinuous function is -

x = k, k is an integer and [.] ® greatest integer is :

continuous as well as differentiable at x = 1

differentiable but not continuous at x = 1

continuous but not differentiale at x = 1

None of these

continuous at x = 2

differentiable at x = 1

continuous but not differentiable at x = 1

both (a) and (c)

The set of points where the function f(x) = |x –2| cos x is differentiable, is -

continuous at x = 0,1

differentiable at x = 0

differentiable at x = 1

None of these

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