Question

Using logarithmic differentiation find
(a) y' if y=(e^(6x)+2x)^(1/x)
(b)f'(u) if f(u)=(sin(e^u))^(ln(u))

Answer 1

Hmmm so the problem is that we have a variable in the exponent, so we're not allowed to apply the power rule.

So we'll need to take the log of both sides, so we can apply a handy rule of logarithms (One that will allow us to deal with the exponent).