- #1
jzq
- 55
- 0
These are the problems (Please, just point me in the right direction):
[tex]y=x^{2}\ln(6x)[/tex]
[tex]f(x)=x\ln(12x)[/tex]
[tex]y=x^{2}\ln(6x)[/tex]
[tex]f(x)=x\ln(12x)[/tex]
1/xwhozum said:Do you know the derivative of ln(x)?
The general formula for finding the derivative of a logarithmic function is:
d/dx (log base a (x)) = 1 / (x * ln(a))
To find the derivative of a logarithmic function with a different base, you can use the formula:
d/dx (log base a (x)) = 1 / (x * ln(a))
and then substitute the base of your logarithmic function for "a" in the formula.
Yes, you can use the chain rule to find the derivative of a logarithmic function. You will need to apply the chain rule to the entire function, including both the log and the argument inside the log.
To find the derivative of a composite logarithmic function, you will need to use the chain rule and the general formula for finding the derivative of a logarithmic function.
For example, if you have a function: f(x) = log base a (x^2),
you can find the derivative by using the formula:
d/dx (log base a (x)) = 1 / (x * ln(a))
and then applying the chain rule to the argument inside the log (in this case, x^2).
Yes, there are a few special properties and rules for finding the derivative of a logarithmic function. Some of these include:
- The derivative of ln(x) is 1/x
- The derivative of log base a (x) is 1 / (x * ln(a))
- The derivative of log base a (f(x)) is 1 / (f(x) * ln(a)) * f'(x)
- The logarithmic functions follow the same rules for finding derivatives as other functions, such as the power rule and product rule.