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Math Help - Basic calculus help

  1. #1
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    Basic calculus help

    I am unable to catch the derivatives of some common functions like f(X) = 1/x, x^2............

    In some problems derivatives of functions are cubes of x + squares of x...........

    please make me understand.
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  2. #2
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    Quote Originally Posted by rohith14 View Post
    I am unable to catch the derivatives of some common functions like f(X) = 1/x, x^2............

    In some problems derivatives of functions are cubes of x + squares of x...........

    please make me understand.

    The golden rule of derivatives: for all  n\in\mathbb{R}\,,\,(x^n)'=nx^{n-1} (please note  n is REAL, not merely natural, integer or even rational: ANY real number)

    For example, (x^2)'=2x\,,\,(x^7)'=7x^6\,,\,\,\left(\frac{1}{x}\  right)'=\left(x^{-1}\right)'=(-1)x^{-2}=-x^{-2}=-\frac{1}{x^2}\,, (\sqrt{x})'=(x^{1\slash 2})'=\frac{1}{2}x^{-1\slash 2}=\frac{1}{2\sqrt{x}} , ...etc.

    Tonio
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  3. #3
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    Then what about complex functions.
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  4. #4
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    Quote Originally Posted by rohith14 View Post
    Then what about complex functions.
    how about doing some research on your own first, then come back if you have a question about a specific derivative.

    Pauls Online Notes : Calculus I
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