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 $f(x) = \begin{cases} x, & x \le 0 \\ 0, & x \gt 0 \end{cases}$ 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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Q2.

If $y = \log(\tan(x/2)) + \sin^{-1}(\cos x)$,then $dy/dx$ is

(A)
$\operatorname{cosec} x - 1$
(B)
$\operatorname{cosec} x$
(C)
$\operatorname{cosec} x + 1$
(D)
$x$
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