MCQs of સાતત્ય અને વિકલન

Showing 61 to 70 out of 178 Questions

61.

\frac{d}{d x} \sqrt{x \cos x}

= _____

0 < x < \frac{x}{2}

62.

\frac{d}{d x} \tan^{- 1} \sqrt{\frac{1 - \sin x}{1 + \sin x}}

= _____

- \frac{3 π}{2} < x < \frac{3 π}{2}

63.

જો x =

e^{\tan^{- 1} (\frac{y - x^{3}}{x^{3}})}

, તો

\frac{d y}{d x}

= _____ .

64.

\frac{d}{d x} [\sin^{- 1} (\frac{5 x}{13} + \frac{12}{13} \sqrt{1 - x^{2}})]

= _____

(0 < x < \frac{π}{2})

65.

y = \sqrt{1 - \sin 2 x}

;

\frac{π}{4}

< x <

\frac{π}{2}

તો

\frac{d y}{d x}

=_____

66.

જો

y = \tan^{- 1} (c o t x) + c o t^{- 1} (\tan x)

,0 < x <

\frac{π}{2}

તો

\frac{dy}{d x}

=_____

67.

જો f(x) = log₃ (log₅x), તો f'(x) = _____ .

68.

f'(x) = f(x) અને f(0) = 1 તો

\lim_{x \to 0} \frac{f (x) - 1}{x}

=_____

69.

જો x =

\frac{t}{1 + t}

અને

y = \frac{1 - t}{1 + t}

, તો

\frac{d y}{d x}

= _____ .

70.

\frac{d}{d x} e^{x \log (x - 1)}

= _____ .

Showing 61 to 70 out of 178 Questions