What is derivative of f(x)=ln(x^3+1)?

Since the function f(x) is a result of composing two
functions, w'ell have to use the chain rule to find out the derivative of
f(x).

f(x) = u(v(x))

f'(x) =
u'(v(x))*v'(x)

Let u(v(x)) = ln(`x^(3)`+ 1 ) and v(x) =
`x^(3)` + 1

f'(x) = [ln(`x^(3)` + 1)]'*(`x^(3)` +
1)'

f'(x) = [1/(`x^(3)` + 1)]*(3`x^(2)`
)

The requested derivative of the given
function is f'(x) = 3`x^(2)` /(`x^(3)` + 1).