Except for the above missing parentheses and exponentiation symbol, it is correct.SYoungblood said:Homework Statement
f(x) = 1/ln (10-x) -- I would assume it to be a fairly simple equation, but I am screwing it upHomework Equations
What is f'(x)?The Attempt at a Solution
f'(x) = (ln (10-x))^-1
= -(ln (10-x))^-2 * -1 * 1/(10-x) -- 2 negatives cancel out
= 1/((10-x) (ln(10-x))^2) -- This is as far as I got and I just can tell it isn't correct.
Thank you in advance for all help.
Natural log differentiation, also known as logarithmic differentiation, is a method used to find the derivative of a function that contains a natural logarithm. It involves using the logarithmic properties to simplify the function and make it easier to differentiate.
Natural log differentiation is important because it allows us to find the derivative of functions that cannot be easily differentiated using traditional methods. It also helps us solve complex problems in fields such as physics, economics, and engineering.
To use natural log differentiation, follow these steps:
Some common mistakes when using natural log differentiation include forgetting to use the chain rule, incorrectly applying logarithmic properties, and not simplifying the function enough before taking the derivative.
Yes, natural log differentiation can be used for any function that contains a natural logarithm. However, it may not always be the most efficient or necessary method for finding the derivative.