MCQ
Function $f(x) = {\sin ^{ - 1}}\left( {3x - 4{x^3}} \right)$ is
- Aalways difierentiable
- ✓not differentiable at $2$ points
- Cnot continuous at $2$ points
- Dnot differentiable at $3$ points
✓
Answer
Correct option: B.
not differentiable at $2$ points
b
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Choose the correct answer from the given four options:If $A$ and $B$ are such events that $\text{P}(\text{A})>0$ and $\text{P}(\text{B})\neq1,$ then $\text{P}\Big(\frac{\text{A}'}{\text{B}'}\Big)$ equals to:
→The system of equations : $2x\, \cos^2\theta + y\, \sin2\theta - 2\sin\theta = 0$ $x\, \sin2\theta + 2y\, \sin^2\theta = - 2\, \cos\theta$ $x\, \sin\theta - y \cos\theta = 0$ , for all values of $\theta$ , can
→Choose the correct answer from the given four options.Which of the following is the principal value branch of $\ce{cosec}^{-1}\ x?$
→If $A=\left[\begin{array}{rr}2 & -1 \\ 1 & 3\end{array}\right]$, then $A ^{-1}= ?$
→The feasible region for an LPP is shown shaded in the figure. Let $F=3 x-4 y$ be the objective function.
Maximum value of $F$ is
→Maximum value of $F$ is
The solution of the differential equation $\frac{\text{dy}}{\text{dx}}+\frac{2\text{y}}{\text{x}}=0$ with y(1) = 1 is given by.
→Coffee is draining from a conical filter, height and diameter both $15 \,\,cms$ into a cylinderical coffee pot diameter $15 \,\,cm$. The rate at which coffee drains from the filter into the pot is $100 \,\,cu cm /min$.The rate in $cm s/min$ at which the level in the pot is rising at the instant when the coffee in the pot is $10 \,\,cm$, is
→If $\overline{\text{a}},\overline{\text{b}},\overline{\text{c}}$ are unit vectors such that $\overline{\text{a}}+\overline{\text{b}}+\overline{\text{c}}+\overline{\text{c.a}}=$
→The value of $12 \int \limits_0^3\left|x^2-3 x+2\right| d x$ is $.............$
→Consider the equation $\int_1^e \frac{\left(\log _e x \right)^{1 / 2}}{ x \left(a-\left(\log _{ e } x \right)^{3 / 2}\right)^2} dx =1, \quad a \in(-\infty, 0) \cup(1, \infty)$.
→Which of the following statements is/are $TRUE$ ?
$(A)$ No $a$ satisfies the above equation
$(B)$ An integer $a$ satisfies the above equation
$(C)$ An irrational number $a$ satisfies the above equation
$(D)$ More than one $a$ satisfy the above equation