The value of ddxsintan-1ex at x = 0  is from Math

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

381.

f(x) and g(x) are differentiable in the interval [0, 1] such that f(0) = 2, g(0) = 0, f(1) = 6, g(1) = 2, then Rolle's theorem is applicable for which of the following in [0, 1] ?

  • f(x) - g(x)

  • f(x) - 2g(x)

  • f(x) + 3g(x)

  • None of the above


382.

The positive root of equation x2 - 2x - 5 = 0 lies in the interval

  • {0, 1}

  • (1, 2)

  • (2, 3)

  • (3, 4)


383.

One root of the equation x2 - 4x+ 1 = 0 is between 1 and 2. The value ofthis root using Newton-Raphson method will be

  • 1.775

  • 1.850

  • 1.875

  • 1.950


384.

The point/points of discontinuity of the function f(x) = x + 3,     if x  - 3- 2x,         if - 3 < x < 36x + 2,      if x  3 is/are

  • 3, - 3

  • 3

  • - 3

  • None of these


Advertisement
Advertisement

385.

The value of ddxsintan-1ex at x = 0  is

  • 0

  • - 2

  • - 122

  • - 12


C.

- 122

We have, ddxsintan-1ex        = - costan-1e-x × 11 + e-2x × e-xAt x = 0, we have- costan-1e0 × 11 + e0 × e0       = - costan-11 × 12 × 1       = cosπ4 × 12       = - 122


Advertisement
386.

If f(x) = x2 - 10x + 25x2 - 7x + 10 and f is continuous at x = 5, then f(5) is equal to

  • 0

  • 5

  • 10

  • 25


387.

If h(x) = xxx, then at x = 1, h'xhx is equal to

  • h(x)

  • 1hx

  • 1 + loghx

  • - loghx


388.

ddxsin-13x - 4x3 is equal to

  • 34 - x2

  • 31 - x2

  • 14 - x2

  • - 14 - x2


Advertisement
389.

If f(x) = x2x + a, then f''(a) is equal to

  • 4a

  • 18a

  • 14a

  • 8a


390.

If u = ex2 - y2, then

  • xux = yuy

  • yux = xyy

  • yux + xuy = 0

  • x2uy + y2ux = 0


Advertisement