Differentiability Mock Tests

23 questions available

Differentiability Mock Test 1

Questions: 23

Sample Questions

JEE Main Mathematics

The function f(x) = |x − 2| is not differentiable at:

A x = 2

B x = 0

C x = 1

D x = −2

JEE Main Mathematics

The function f(x) = |x - 1| + |x - 2| is not differentiable at:

A x = 1 and x = 2

B x = 0 and x = 1

C x = 2 only

D everywhere

JEE Main Mathematics

The derivative of x² with respect to x is:

A 2x

B x

C x²

D 2

JEE Main Mathematics

The derivative of tan(x) with respect to x is:

A sec²(x)

B tan(x)

C sec(x)

D csc²(x)

JEE Main Mathematics

The derivative of ln(x) with respect to x is:

A 1/x

B x

C ln(x)/x

D eˣ

JEE Main Mathematics

The function f(x) = |x| · sin x is:

A differentiable everywhere

B not differentiable at x = 0 only

C not differentiable at x = π only

D differentiable everywhere

JEE Main Mathematics

The function f(x) = |x − 1| + |x + 1| is not differentiable at:

A x = −1 and x = 1

B x = 0 only

C x = 1 only

D nowhere

JEE Main Mathematics

The function f(x) = |x − 2| is not differentiable at:

A x = 0

B x = 2

C x = 1

D x = 3

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