Question

Find the derivative of the function.
y = e^x − e^(−x) / 5
y'=

Answer 1

\[y=e^x-{e^{-x}\over 5}\]\[y'=e^x+{e^{-x}\over5}\]

Answer 2

\[y=\]\[(e ^{x}-e ^{-x})\div5\]

Answer 3

i think my parentheses were confusing

Answer 4

my apologies

Answer 5

oh i see now

Answer 6

\[y(x)={e^x-e^{-x} \over 5}\]
\[y'(x)={e^x +e^{-x} \over 5}\]

Answer 7

why did only the sign change?

Answer 8

well the thing about derivatives of e is they are easy
\[(e^x)'=e^x\]
\[(e^{ax})'=ae^{ax}\]

Answer 9

the second in exponential term a=-1