What is the derivative of f(x)=ln(g(x))?

Ean Chapman

Ean Chapman

Answered question

2023-03-18

What is the derivative of f ( x ) = ln ( g ( x ) ) ?

Answer & Explanation

iistiidgllj

iistiidgllj

Beginner2023-03-19Added 6 answers

The answer would be f ( x ) = 1 g ( x ) g ( x ) or it can be written as f ( x ) = g ( x ) g ( x ) .
To solve this derivative you will need to follow the chain rule which states:
F ( x ) = f ( g ( x ) ) then F ( x ) = f ( g ( x ) ) g ( x )
Alternatively, without the equation, it is the derivative of the outside (without changing the inside) multiplied by the derivative of the outside.
The derivative of h ( x ) = ln ( x ) is h ( x ) = 1 x .

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