MCQs of Applications of Derivatives

Showing 1 to 10 out of 152 Questions

The distance s moved by a particle in time t is given by

s = t^{3} - 6 t^{2} + 6 t + 8

. When the acceleration is zero, the velocity is_____.

The volume of a sphere is increasing at the rate of

π c m^{3} / s e c

. The rate at which the radius is increasing is_____, when the radius is 3cm.

f (x) = x^{x}

decreases in_____

f (x) = 2 | x - 2 | + 3 | x - 4 |

is_____in (2, 4).

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

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

The local maximum value of

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

is _____

The local minimum value of

\frac{x}{\log x}

is _____

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

is_____

The local minimum value of

f (x) = x^{2} + 4 x + 5

is _____

10.

The maximum value of

f (x) = 5 \cos x + 12 \sin x

is _____

Showing 1 to 10 out of 152 Questions