Question

» week 1 Math Diagnostic Homework-due Fri, Timer □Notes Contents , j E Problem C4 Due in 7 hours, 16 minutes Find the first and second derivatives with respect to x of r) exp(x/a)-exp(-xl) where exp(x)-e is the exponential function. Enter your answer in terms of the exponential function df/dx= 2epsia Submit Answer Tries 2/10 Previous Tries Submit Answer Tries 0/10 Export r answer David Tees Reply (Wed Jan 16 05:51:30 pm 2019 (EST)) when it says "Enter your answer in terms of the exponential function, it means that it wants you to enter (for example) exp(x/a), not e (x/a) this discussion: 1. Display - All posts 2. Not new - Once marked not NEW Change Export Post Discussion esc FI FS

Answer 1

$f(x)=\frac {e^{x/a}-e^{-x/a}}{2}$

$f'(x)=\frac {e^{x/a}+e^{-x/a}}{2a}$ (first derivative)

$f''(x)=\frac {e^{x/a}-e^{-x/a}}{2a^2}$ (second derivative)