- #1
lreichardt
- 4
- 0
How do I take the derivative of
f(x)=ln[x/(x-1)]?
Thanks!
f(x)=ln[x/(x-1)]?
Thanks!
The formula for finding the derivative of a fraction is (numerator derivative * denominator) - (numerator * denominator derivative) / (denominator)^2.
To find the derivative of a fraction with a variable in both the numerator and denominator, you will need to use the quotient rule. This rule states that the derivative of a fraction is equal to (numerator derivative * denominator) - (numerator * denominator derivative) / (denominator)^2.
Yes, in some cases, the derivative of a fraction can be simplified. For example, if the numerator and denominator have common factors, they can be canceled out, resulting in a simpler form of the derivative.
If the denominator of a fraction is a constant, the derivative can be found by using the power rule. This means that the derivative of the fraction is equal to (numerator * exponent of the denominator) / (denominator)^(exponent of the denominator + 1).
Yes, the derivative of a complex fraction can be found by using the quotient rule. This rule states that the derivative of a fraction is equal to (numerator derivative * denominator) - (numerator * denominator derivative) / (denominator)^2.