What is the second derivative of [math] f(x) = e^{a |x|} [/math] where [math] a [/math] is a non-zero real constant?
Let [math]f(x)=\left(1+\frac{C}{x}\right)^x[/math], where [math]C[/math] is a constant. What is the derivative of [math]f[/math]?  What is the motonicity of [math]f[/math] for [math]x > 1[/math]?