MCQs of Applications of Derivatives

Showing 21 to 30 out of 266 Questions

21.

The local minimum value of

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

is _____

22.

The maximum value of

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

is _____

23.

The minimum value of

f (x) = 3 \cos x + 4 \sin x

is ______

24.

f (x) = x \log x

has minimum value _____

25.

f (x) = \sqrt{3} \cos x + \sin x, x \in [0, \frac{π}{2}]

is maximum for x= _____

26.

f (x) = (x - a)^{2} + (x - b)^{2} + (x - c)^{2}

has minimum value at x = _____

27.

f (x) = (x + 2) e^{- x}

is increasing in _____

28.

The measure of the angle of intersection between

y^{2} = x

and

x^{2} = y

other than one at (0, 0) is _____

29.

The point where normal to

y = x^{2} - 2 x + 3

is parallel to Y-axis is _____

30.

The slope of normal to

(3 t^{2} + 1, t^{3} - 1)

t = 1

is_____

Showing 21 to 30 out of 266 Questions