MCQ
${d \over {dx}}\{ \cos (\sin {x^2})\} = $
  • A
    $\sin (\sin {x^2}).\cos {x^2}.2x$
  • $ - \sin (\sin {x^2}).\cos {x^2}.2x$
  • C
    $ - \sin (\sin {x^2}).{\cos ^2}x.2x$
  • D
    None of these

Answer

Correct option: B.
$ - \sin (\sin {x^2}).\cos {x^2}.2x$
b
(b) $\frac{d}{{dx}}\{ \cos (\sin {x^2})\} = - \sin (\sin {x^2})\cos {x^2}.2x$.

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

Similar questions

For $n > 0,$ $\int_0^{2\pi } {\frac{{x{{\sin }^{2n}}x}}{{{{\sin }^{2n}}x + {{\cos }^{2n}}x}}\,dx = } $
Which of the following functions has period $2\pi $
Domain of the function $f(x) = {\sin ^{ - 1}}(1 + 3x + 2{x^2})$ is
The number of straight lines that are equally inclined to the three dimensional co-ordinate axes, is
The complex numbers ${z_1},{z_2},{z_3}$ are the vertices of a triangle. Then the complex numbers $z$ which make the triangle into a parallelogram is
Let $\overrightarrow{\mathrm{a}}=2 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+4 \hat{\mathrm{k}}, \overrightarrow{\mathrm{b}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}-5 \hat{\mathrm{k}}$, and a vector $\vec{c}$ be such that $\vec{a} \times(\vec{b}+\vec{c})+\vec{b} \times \vec{c}=\hat{i}+8 \hat{j}+13 \hat{k}$. If $\vec{a} \cdot \vec{c}=13$, then $(24-\vec{b} \cdot \vec{c})$ is equal to ...........
If $\alpha$ satisfies the equation $x^2+x+1=0$ and $(1+\alpha)^7=\mathrm{A}+\mathrm{B} \alpha+\mathrm{C}^2, \mathrm{~A}, \mathrm{~B}, \mathrm{C} \geq 0$, then $5(3 A-2 B-C)$ is equal to..........................
Statement $-1$ : The slope of the tangent at any point $P$ on a parabola, whose axis is the axis  of $x$ and vertex is at the origin, is inversely proportional to the ordinate of the point $P$.
Statement $-2$ : The system of parabolas $y^2 = 4ax$ satisfies a differential equation of degree $1$ and order $1$
If $\frac{{5\pi }}{2} < x < 3\pi $, then the value of the expression $\frac{{\sqrt {1 - \sin x}  + \sqrt {1 + \sin x} }}{{\sqrt {1 - \sin x}  - \sqrt {1 + \sin x} }}$ is
Let the slope of the tangent to a curve $y=f(x)$ at $(x, y)$ be given by $2 \tan x(\cos x-y)$. if the curve passes through the point $(\frac{\pi}{4},0)$, then the value of $\int \limits_{0}^{\pi / 2} y d x$ is equal to