MHT-CET

Continuity and Differentiation question bank (Mathematics)

Practice 511 free MHT-CET Mathematics - Continuity and Differentiation questions with answers and step-by-step solutions.

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Q1.

If $f(x) = \cos x \cos 2x \cos 4x \cos 8x \cos 16x$, then $f' \left( \frac{\pi}{4} \right)$ is equal to

(A)

$1$

(B)

$0$

(C)

$\sqrt{2}$

(D)

$\frac{1}{\sqrt{2}}$

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Q2.

If $f(x) = \begin{cases} x, & x \le 0 \\ 0, & x \gt 0 \end{cases}$ then $f(x)$ at $x = 0$ is

(A)

Continuous but not differentiable

(B)

Not continuous but differentiable

(C)

Continuous and differentiable

(D)

Not continuous and not differentiable

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