Product rule

y=3x2Inx

u=3x2
v=Inx
du/dx=6x
dv/dx=I/x

y=u*v

dy/dx=(u)(dv/dx)+(v)(du/dx)

dy/dx=(3x2)(I/x)+(Inx)(6x)

Can I simplify this further
 
31,931
3,893
What is Inx? If you are going by what is on a button on a calculator, that is ln x (LN), for natural logarithm.
u=3x2
v=Inx
du/dx=6x
dv/dx=I/x
If v = ln(x), then dv/dx = 1/x, not I/x.
y=u*v

dy/dx=(u)(dv/dx)+(v)(du/dx)

dy/dx=(3x2)(I/x)+(Inx)(6x)

Can I simplify this further
Please post homework-type problems in the Homework & Coursework section, not in the technical math sections. I am moving this thread.
 
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.
It's not homework!
 
31,931
3,893
But it's a homework-type problem, so this is where it goes.
 

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