- #1
rteng
- 26
- 0
using logarithmic differentiation I can get it to a point where I have...
ln(y)=20[ln(x+sqrt(x))-ln(x^2-2^x)]
I do not know what to do at that point
Logarithmic differentiation is a technique used in calculus to simplify the differentiation of functions that involve products, quotients, or powers. It is typically used when the function is too complex to differentiate using basic differentiation rules.
To perform logarithmic differentiation, you take the natural logarithm of both sides of the function, then use logarithm rules to simplify the expression. Next, you differentiate both sides using basic differentiation rules, and finally, solve for the derivative in terms of the original function.
Logarithmic differentiation allows us to differentiate functions that would be difficult or impossible to differentiate using basic rules. It also helps to simplify complex expressions and can be used to find derivatives of functions with multiple variables.
While logarithmic differentiation is a useful technique, it can only be applied to functions that are differentiable and have a non-zero value. It also involves more steps and can be more time-consuming than using basic differentiation rules.
Yes, logarithmic differentiation can be used to find higher order derivatives by applying the technique multiple times. However, as the degree of the derivative increases, the process can become more complex and time-consuming.