Important Questions of Application of Derivatives Mathematics | Zigya

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 Multiple Choice QuestionsMultiple Choice Questions

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31.

The minimum value of the function f (x) = 2x - 1 + x - 2 is

  • 0

  • 1

  • 2

  • 3


32.

Maximum value of the function f(x) = x8 + 2x on the interval [1, 6] is

  • 1

  • 98

  • 1312

  • 178


33.

For  - π2 < x < 3π2, the avlue of ddxtan-1cosx1 + sinx is equal to

  • 12

  • 12

  • 1

  • sinx1 + sinx2


 Multiple Choice QuestionsShort Answer Type

34.

If the area of a rectangle is 64 sq unit, find the minimum value possible for its perimeter


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 Multiple Choice QuestionsMultiple Choice Questions

35.

Let f(x) = x3e- 3x, x > 0. Then, the maximum value of f(x) is

  • e- 3

  • 3e- 3

  • 27e- 9


36.

The point in the interval [0, 2π], where f(x) = ex sin(x) has maximum slope, is

  • π4

  • π2

  • π

  • 3π2


37.

The minimum value of f(x) = ex4 - x3 + x2

  • e

  • - e

  • 1

  • - 1


38.

If the line ax + by + c = 0 is a tangent to the curve xy = 4, then 

  • a < 0, b > 0

  • a  0, b > 0

  • a < 0, b < 0

  • a  0, b < 0


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39.

If the normal to the curve y = f(x) at the point (3, 4) make an angle 3π/4 with the positive x-axis, then f'(3) is

  • 1

  • - 1

  • 34

  • 34


40.

The equation of normal of x+ y2 - 2x + 4y - 5 = 0 at (2, 1) is

  • y = 3x - 5

  • 2y = 3x - 4

  • y = 3x + 4

  • y = x + 1


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