Question

Differentiate the function, f(x) = ln (2x + 4) with respect to x?

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Answer 1

f'(x) =
`(1)/(x+2)`

Explanation:

using the chain rule to differentiate

f(x) = g(h(x)) , then

f'(x) = g'(x) × h'(x)

f(x) = ln(2x + 4) , then

f'(x) =
`(1)/(2x+4)` ×
`(d)/(dx)` (2x + 4)

=
`(1)/(2x+4)` × 2

=
`(2)/(2x+4)`

=
`(1)/(x+2)`