Question

Find the derivative of f(x)= e^(4x) + e^-(4x)

Answer 1

Explanation:

note : (e^(u(x))' = (u(x))'e^(u(x)

f(x)= e^(4x) + e^-(4x)

f'(x) =4e^(4x) - 4 e^-(4x)

Answer 2

`f'(x)=4e^(4x) -4e^(-4x)`

Explanation:

To find this derivative, we will need to use the chain rule.

As there is a variable in the exponent we can use this formula:

`f'(x)=u'e^u`

In this case,
`u=4x` and
`u=-4x`

This means that
`u'=4` and
`u'=-4` respectively

This gives us
`f'(x)=4e^(4x) -4e^(-4x)`