MCQs of Applications of Derivatives

Showing 11 to 20 out of 266 Questions

11.

f (x) = x^{7} + 5 x^{3} + 125 is_____

(a)	$decreasing in (0, \infty)$
(b)	$decreasing in (- \infty, 0)$
(c)	$increasing on R$
(d)	$neither increasing nor decreasing in R$

12.

The local maximum value of

f (x) = x + \frac{1}{x}

is _____

13.

The local minimum value of

\frac{x}{\log x}

is _____

14.

\log_{e} 4 = 1.3868

, then approximate value of

\log_{e} 4.01

=_____

15.

The circumference of a circle is 20 cm and there is an error of 0.02 cm in its measurement. The approximate percentage error in area is_____

16.

If the line y = x touches the curve y = x^{2} + b x + c at (1, 1), then_____

17.

y = a e^{x}, y = b e^{- x}

intersect at right angles if _____

(a \neq 0, b \neq 0)

18.

Tangent to

y = 5 x^{5} + 10 x + 15_____

(a)	is always vertical
(b)	is always horizontal
(c)	makes acute angle with the positive X-axis
(d)	makes obtuse angle with the positive X-axis

19.

f (x) = 2 x + c o t^{- 1} x - \log |x + \sqrt{1 + x^{2}}|

is_____

20.

The sum of two non-zero numbers in 12. The minimum sum of their reciprocals is _____

Showing 11 to 20 out of 266 Questions