# Derrivative

• November 24th 2007, 10:04 AM
johntuan
Derrivative
Find the derivative of T(n)=n-n^3, using first principles.

Thanks.
• November 24th 2007, 11:21 AM
topsquark
Quote:

Originally Posted by johntuan
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