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11th Standard English Medium Maths Subject Differentiability and Methods of Differentiation BookBack 1 Mark Questions with Solution Part - II

11th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 10

    1 Marks

    10 x 1 = 10
  1. \(\frac{d}{d x}\left(\frac{2}{\pi} \sin x^{\circ}\right)\) is

    (a)

    \({\pi\over 180}cos \ x^o\)

    (b)

    \({1\over 90} cos \ x^o\)

    (c)

    \({\pi\over 90}cos \ x^o\)

    (d)

    \({2\over \pi}cos \ x^o\)

  2. If y = f(x2+2) and f '(3) = 5, then \({dy\over dx}\) at x = 1 is

    (a)

    5

    (b)

    25

    (c)

    15

    (d)

    10

  3. If y = mx + c and f(0) =\(f '(0)=1\)then f(2) is

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    -3

  4. If f(x) = x tan-1 x, then f '(1) is

    (a)

    \(1+{\pi\over 4}\)

    (b)

    \({1\over 2}+{\pi\over 4}\)

    (c)

    \({1\over 2}-{\pi\over 4}\)

    (d)

    2

  5. \({d\over dx}(e^{x+5log \ x})\) is

    (a)

    ex.x4(x+5)

    (b)

    ex.x(x+5)

    (c)

    ex\(+{5\over x}\)

    (d)

    ex\(-{5\over x}\)

  6. If the derivative of (ax - 5)e3x at x = 0 is -13, then the value of a is

    (a)

    8

    (b)

    -2

    (c)

    5

    (d)

    2

  7. \(x={1-t^2\over 1+t^2},y={2t\over 1+t^2}\) then \({dy\over dx}\)is

    (a)

    \(-{y\over x}\)

    (b)

    \({y\over x}\)

    (c)

    \(-{x\over y}\)

    (d)

    \({x\over y}\)

  8. If x = a sin \(\theta\) and y = b cos \(\theta\), then \({d^2y\over dx^2}\)is

    (a)

    \({a \over b^2}sec^2 \theta\)

    (b)

    \(-{b \over a}sec^2 \theta\)

    (c)

    \(-{b \over a^2}sec^3 \theta\)

    (d)

    \(-{b^2\over a^2}sec^3 \theta\)

  9. The differential coefficient of log10 x with respect to logx10 is

    (a)

    1

    (b)

    -(log10 x)2

    (c)

    (logx 10)2

    (d)

    \(x^2\over100\)

  10. If f(x) = x + 2, then f '(f(x)) at x = 4 is

    (a)

    8

    (b)

    1

    (c)

    4

    (d)

    5

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