The discussion revolves around the differentiation of the function y=3x²ln(x). Participants are exploring the simplification of the derivative and clarifying the notation used for the natural logarithm.
Some participants have provided clarifications regarding the notation and derivative calculations. There is an ongoing exploration of the simplification process, but no consensus has been reached on the final form of the derivative.
There is a note regarding the appropriateness of posting in the current section, with some participants indicating that the problem resembles a homework-type question.
What is Inx? If you are going by what is on a button on a calculator, that is ln x (LN), for natural logarithm.anthonyk2013 said:y=3x2Inx
If v = ln(x), then dv/dx = 1/x, not I/x.anthonyk2013 said:u=3x2
v=Inx
du/dx=6x
dv/dx=I/x
anthonyk2013 said:y=u*v
dy/dx=(u)(dv/dx)+(v)(du/dx)
dy/dx=(3x2)(I/x)+(Inx)(6x)
Can I simplify this further
Mark44 said:What is Inx? If you are going by what is on a button on a calculator, that is ln x (LN), for natural logarithm.
If v = ln(x), then dv/dx = 1/x, not I/x.
Please post homework-type problems in the Homework & Coursework section, not in the technical math sections. I am moving this thread.