"The exponential function is the unique function satisfying f′=f and f(0)=1 however, unless I've made a mistake, we have d/dx(ax)^x=x(ax)^x−1 a=ax(ax)^x−1=(ax)^x and (a0)^0=0^0=1 so I feel like I must be missing something special about ex. Any pointers would be greatly appreciated."

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
$f(x,y)=x^3-6xy+8y^3$

$\frac{1}{\sec <!--\; \; -->(x)}$ in derivative?

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