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Math Help - Derrivative

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    Derrivative

    Find the derivative of T(n)=n-n^3, using first principles.

    Thanks.
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    Quote Originally Posted by johntuan View Post
    Find the derivative of T(n)=n-n^3, using first principles.

    Thanks.
    T^{\prime}(n) = \lim_{h \to 0} \frac{((n + h) - (n + h)^3) - (n - n^3)}{h}

    Expand the numerator and collect like terms. You will find that the resulting numerator is divisible by h, so divide the h in the numerator by the one in the denominator. This will make your limit trivial.

    -Dan
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