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تفرق

بارہویں جماعت · ریاضی · 6 سوالات

نام: ____________________   تاریخ: ____________

  1. The derivative of x^4 is:

    • A x^3
    • B 3x^4
    • C 4x^3
    • D 4x^4

  2. The derivative of sin x is:

    • A -cos x
    • B -sin x
    • C cos x
    • D tan x

  3. The derivative of e^x is:

    • A x e^(x-1)
    • B 1
    • C ln x
    • D e^x

  4. The derivative of ln x is:

    • A x
    • B 1/x
    • C ln x / x
    • D e^x

  5. If y = x2 sin x, then dy/dx is:

    • A x2 cos x
    • B 2x sin x
    • C 2x cos x
    • D 2x sin x + x2 cos x

  6. The function f(x) = x2 - 4x has a minimum at x equal to:

    • A -2
    • B 0
    • C 2
    • D 4

جوابی کلید

1. C, 2. C, 3. D, 4. B, 5. D, 6. C

  1. Power rule: n x^(n-1).

  2. d/dx(sin x) = cos x.

  3. e^x is its own derivative.

  4. d/dx(ln x) = 1/x.

  5. Product rule: (2x)(sin x) + (x2)(cos x).

  6. f'(x) = 2x - 4 = 0 gives x = 2, and f'' = 2 is positive.