The problem involves differentiating the function (ln(5x))^1/5 with respect to x, which falls under the subject area of calculus, specifically focusing on differentiation techniques and the application of the chain rule.
The discussion is ongoing, with participants providing guidance on the differentiation process and exploring different interpretations of the derivative. There is a focus on clarifying the application of the chain rule and the correct form of the derivative.
Some participants express confusion regarding the expected form of the answer, debating whether it should be a numerical value or a function. The original poster's initial differentiation attempt is also questioned for its accuracy.
That's not right. The answer shouldn't be ln5/5, because that's a number. The answer should be a function.chanella35 said:the question is: differentiate wiith repsect to x:
(ln(5x))^1/5
i differentiated and got :
1/5ln(5x)
y'=1/5xI don't think this is correct. The answer should be ln5/5.
Can anyone help me?
chanella
logarithmic said:That's not right. The answer shouldn't be ln5/5, because that's a number. The answer should be a function.
Use the chain rule: power to the front, subtract 1, multiply by the derivative of what's inside the bracket.
chanella35 said:So the answer would be;
y'=1/5 (5)(ln5x)^(1/5-1)
y'= (ln5x)^-4/5
is this right??
Thanks for helping :)