Another Differantiation problem

Calculus Level 2

Find out the second order derivative of:- $y=\frac{Sgn(x)}{\frac{|x|}{x}}×e^{ln(x)}$ at x=5.99

The answer is 0.

1 solution

Tijmen Veltman
Jan 12, 2015

For $x$ around 5.99 (actually, any positive $x$ ) we have:

$Sgn(x)=1$

$|x|=x$

$e^{\ln(x)}=x$

Therefore $y=\frac{1}{\frac{x}{x}}\times x=x$ , and so $y''=\boxed{0}$ .