You're welcome. Numerous techniques can be used to find the derivative of a function. The ones that I have used in this case are:

* The constant rule: $\frac{d}{dx}c=0$
* The sum and difference rule: $\frac{d}{dx}(f(x)+g(x))=\frac{d}{dx}f(x)+\frac{d}{dx}g(x)$
* The constant multiple rule: $\frac{d}{dx}(cf(x))=c\frac{d}{dx}f(x)$
* The power rule: $\frac{d}{dx}x^n=nx^{n-1}$
* The exponent rule: $\frac{d}{dx}a^n=\ln(a)\cdot a^n$

Note that above I have computed the derivative with respect to $c$, rather than $x$. Here $c$, $a$ and $n$ are used to represent arbitrary constants. Additionally, some other techniques that I have not used here are:

* The derivative of a logarithm: $\frac{d}{dx}\log_a(x)=\frac{1}{x\ln(a)}$
* The product rule: $\frac{d}{dx}(f(x)g(x))=f'(x)g(x)+f(x)g'(x)$
* The quotient rule: $\frac{d}{dx}\left(\frac{f(x)}{g(x)}\right)=\frac{f'(x)g(x)-f(x)g'(x)}{(g(x))^2}$
* The chain rule: $\frac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)$

All of these methods are derived from the limit definition of a derivative:

$$\frac{d}{dx}f(x)=\displaystyle\lim_{h\rightarrow0}{\frac{f(x+h)-f(x)}{h}}$$

If you would like any more information on the rules and techniques of differentiation, or if there is another function you would like me to differentiate, feel free to ask.
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