d dx ( x x ) = - Vidyadip

MCQ

${d \over {dx}}\left( {{{\log x} \over {\sin x}}} \right) = $

A
${{{{\sin x} \over x} - \log x.\cos x} \over {\sin x}}$
✓
${{{{\sin x} \over x} - \log x.\cos x} \over {{{\sin }^2}x}}$
C
${{\sin x - \log x.\cos x} \over {{{\sin }^2}x}}$
D
${{{{\sin x} \over x} - \log x} \over {{{\sin }^2}x}}$

✓

Answer

Correct option: B.

${{{{\sin x} \over x} - \log x.\cos x} \over {{{\sin }^2}x}}$

b
(b) $\frac{d}{{dx}}\left( {\frac{{\log x}}{{\sin x}}} \right) = \frac{{\frac{{\sin x}}{x} - \log x.\cos x}}{{{{\sin }^2}x}}$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 5. continuity and differentiation→5. continuity and differentiation — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The length of the projection of the line segment joining the point $\left( {5, - 1,4} \right)$ and $\left( {4, - 1,3} \right)$ on the plane $x + y + z = 7$ is :

The diagram given below shows that

The angle between the lines $2 x=3 y=-z$ and $6 x=-y=-4 z$ is

If $\phi (x) = {x^2} + 1$ and $\psi (x) = {3^x}$, then $\phi \{ \psi (x)\} $ and $\psi \{ \phi (x)\} = $

$\text { If } \int \frac{1}{\sqrt[5]{(x-1)^4(x+3)^6}} d x=A\left(\frac{\alpha x-1}{\beta x+3}\right)^B+C,$ where $\mathrm{C}$ is the constant of integration, then the value of $\alpha+\beta+20 \mathrm{AB}$ is...........

Function $f(x) = \left\{ \begin{array}{l}\,\,\,x - 1,\;x < 2\\2x - 3,\,x \ge 2\end{array} \right.$ is a continuous function

Difference between the greatest and the least values of the function$f (x) = x(ln x - 2)$ on $[1, e^2]$ is

A six faced die is biased such that $3 \times P ($ a prime number $)=6 \times P ($ a composite number $)=2 \times P (1)$.Let $X$ be a random variable that counts the number of times one gets a perfect square on some throws of this die. If the die is thrown twice, then the mean of $X$ is.

In a box containing 100 bulbs, 10 are defective. What is the probability that out of a sample of 5 bulbs, none is defective?

If $f(x)=x^3+b x^2+c x+d$ and 0 < $b^2$ < c then in the interval $(-\infty, \infty)$ , f(x) is