Questions

रिक्त स्थान भरें।

Take a timed test

14 questions · self-marked practice — reveal the answer and mark yourself.

Question 21 Mark
यदि $y=\cos \sqrt{x}$ हो, तो $\frac{d y}{d x}$ का मान ………………….. होगा।
Answer
$\frac{-\sin \sqrt{x}}{2 \sqrt{x}}$
View full question & answer
Question 31 Mark
$\cos (\sqrt{x})$ का $x$ के सापेक्ष अवकलन ……………….. है।
Answer
$-\frac{\sin (\sqrt{x})}{2 \sqrt{(x)}}$
View full question & answer
Question 41 Mark
यदि $3 x+2 y=\cos y$, तो $\frac{d y}{d x} \ldots \ldots \ldots$ है।
Answer
$\frac{-3}{2+\sin y}$
View full question & answer
Question 51 Mark
यदि $f(x)=\left\{\begin{array}{cc}\frac{\sin ^2 a x}{x^2} & , x \neq 0 \\ 1 & , x=0\end{array}\right.$ पर सतत फलन है, तब $a=$ ............ I
Answer
$pm 1$
View full question & answer
Question 61 Mark
यदि $f(x)=\left\{\begin{array}{c}\frac{x^3-a^3}{x-a}, \\ x \neq a \\ b\end{array}, x=a\right.$ a $x=a$ पर सतत फलन है,
तब $b=$ ………………... I
Answer
$3 a^2$
View full question & answer
Question 81 Mark
यदि $y=t^{10}+1$, तथा $x=t^8+1$, तब $\frac{d^2 y}{d x^2}=$ …………………. .I
Answer
$\frac{5}{16 t^6}$
View full question & answer
Question 91 Mark
$y=\log _{10} x$ तब $y$ का $x$ के सापेक्ष अवकलज …………………... है।
Answer
$\frac{1}{x \log _{10} x}$
View full question & answer
Question 101 Mark
$x^2$ का $x^3$ के सापेक्ष अवकलन $=$ ……………………… है।
Answer
$\frac{3 x}{2}$
View full question & answer
Question 111 Mark
यदि $y=\sin x^{\circ}$ और $\frac{d y}{d x}=k \cos x^{\circ}$, तब $k=$…………………
Answer
$\frac{\pi}{180}$
View full question & answer
Question 121 Mark
यदि $y=\log |x|, x \neq 0$, तब $\frac{d y}{d x}=$ …………………….. I
Answer
$\frac{1}{x}$
View full question & answer
Question 131 Mark
यदि $y=\tan x^0$, तब $\left(\frac{d y}{d x}\right)_{x=45^{\circ}}=$……………………. I
Answer
$\frac{\pi}{90}$
View full question & answer
Question 141 Mark
फलन $f(x)=|x+1|, x=$ ………………….. पर अवकलनीय नहीं है।
Answer
-1
View full question & answer