MCQs of Applications of Derivatives

Showing 101 to 110 out of 266 Questions

101.

Maximum value of x²logx in [1, e] is _____

102.

Maximum value of

f (x) = \frac{1}{4 x^{2} + 2 x + 1}

is _____

103.

A + B = \frac{π}{2}

then maximum value of cosA cosB is _____

104.

f (x) = \sin x (1 + \cos x)

is maximum at _____

105.

Maximum value of is

4 e^{x} + 9 e^{- 2 x}

is _____

106.

Minimum value of is

27^{c o s 2 x} 81^{\sin 2 x}

is _____

107.

The intercepts on x - axis made by tangents to the curve,

y = \int_{0}^{x} |t| d t, x \in R,

which are parallel to the line y = 2x are equal to :

108.

If the surface area of a sphere of radius r is increasing uniformly at the rate 8 cm²/s , then the rate of change of its volume is :

109.

The maximum area of a right angled triangle with hypotenuse h is :

110.

If the curves

\frac{x^{2}}{α} + \frac{y^{2}}{4} = 1

and y³ = 16x intersect at right angles, then a value of α is

Showing 101 to 110 out of 266 Questions