MCQs of સાતત્ય અને વિકલન | GUJCET MCQ

સાતત્ય અને વિકલન MCQs

MCQs of સાતત્ય અને વિકલન

Showing 1 to 10 out of 178 Questions

1.

{[\frac{d}{dx} \sec^{- 1} x]}_{x} = - 3 =_____

(a)	$\frac{1}{\sqrt{x^{2} - 1}}$
(b)	$- \frac{1}{\sqrt{x^{2} - 1}}$
(c)	$\frac{1}{6 \sqrt{2}}$
(d)	$- \frac{1}{6 \sqrt{2}}$

2.

\frac{d}{d x} x^{2} =_____(x > 0)

(a)	$x^{x - 1}$
(b)	$x^{x}$
(c)	0
(d)	$x^{x} (1 + \log x)$

3.

\frac{d}{d x} (\sin^{- 1} x + \cos^{- 1} x) =_____(|x| < 1)

(a)	0
(b)	$\frac{2}{\sqrt{1 - x^{2}}}$
(c)	$\frac{1}{\sqrt{1 - x^{2}}}$
(d)	અસ્તિત્વ નથી.

4.

\frac{d}{d x} a^{a} =_____(a > 0)

(a)	$a^{a} (1 + loga)$
(b)	0
(c)	$a^{a}$
(d)	અસ્તિત્વ નથી.

5.

\frac{d}{d x} e^{5 x} =_____.

(a)	$e^{5 x}$
(b)	$5 e^{5 x}$
(c)	$5 x e^{5 x - 1}$
(d)	0

6.

\frac{d}{d x} l o g |x| =_____. (x \neq 0)

(a)	$\frac{1}{\|x\|}$
(b)	$\frac{1}{x}$
(c)	અસ્તિત્વ નથી.
(d)	$e^{x}$

7.

\frac{d}{d x} s i n^{3} x =_____.

(a)	$3 \sin^{2} x$
(b)	$3 \cos^{2} x$
(c)	$3 \sin^{2} x cosx$
(d)	$- 3 \sin^{2} x cosx$

8.

\frac{d}{d x} t a n^{n} x =_____.

(a)	$n \tan^{n - 1} x$
(b)	${ntan}^{n - 1} x \sec^{2} x$
(c)	${nsec}^{2 n} x$
(d)	${ntan}^{n - 1} x \sec^{n - 1} x$

9.

જો f (x) = \{\begin{matrix} ax + b & 1 \leq x < 5 \\ 7 x - 5 & 5 \leq x < 10 \\ bx + 3 a & x \geq 10 \end{matrix} સતત હોય, તો (a, b) =_____

(a)	(5, 10)
(b)	(5, 5)
(c)	(10, 5)
(d)	(0, 0)

10.

જો f (x) = \{\begin{matrix} x & x \in (0, 1) \\ 1 & x \geq 1 \end{matrix}

(a)	f એ ફક્ત x = 1 આગળ સતત છે.
(b)	f એ ફક્ત x = 1 આગળ અસતત છે.
(c)	f એ R⁺પર સતત છે.
(d)	f એ x = 1 આગળ વ્યાખ્યાયિત નથી.

Showing 1 to 10 out of 178 Questions