Question

I need help with understanding a derivative

Answer 1

Why is the derivative of
\[u(x)=e ^{11x}+e ^{-11x}\]
equal to:
\[u'(x)=11e ^{11x}-11e ^{-11x}\]
and not:
\[u'(x)=11e ^{10x}-11e ^{-12x}\]

Answer 2

Here v(x) = e^(11x) and w(x) = e^(-11x)...
So,
v'(x) = e^(11x) {d/dx(11x)} = e^(11x) * 11
w'(x) = e^(-11x) { d/dx(-11x)} = e^(-11x) *(-11)

hOPE THIS HELPS :-)