MCQs of Applications of Derivatives

Showing 51 to 60 out of 152 Questions

51.

f (x) = \cos x + b x + c

is increasing function on R then,

52.

f (x) = x^{2} e^{- 2 x}, x > 0

, then maximum value of f(x) is _____

53.

If for variable x and y , x > 0 and xy = 1 then minimum value of x + y is _____

54.

Which point on curve

x^{2} = 2 y

is nearest to A(0, 5) ?

55.

Minimum value of

f (x) = |3 - x| + 7

is _____

56.

For which value of a ,

f (x) = a \sin x + \frac{1}{3} \sin 3 x

has extreme values at

x = \frac{π}{3}

57.

Displacement of a partial in time t is x where x = t⁴ - kt³ If at t = 2 velocity of the partial is maximum, then

58.

In [0, 2π] , slope of tangent of

f (x) = e^{x} \sin x

is maximum at x = _____

59.

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

60.

Maximum value of

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

is _____

Showing 51 to 60 out of 152 Questions