can someone please go step by step in finding the derivative of sqrt(x)lnx
I am understanding other natural log differentiation, but logarithmic differentiation is just out of my reach right now.

Question

can someone please go step by step in finding the derivative of sqrt(x)lnx
I am understanding other natural log differentiation, but logarithmic differentiation is just out of my reach right now.

anonymous · Answer

$$\sqrt x lnx$$
is that the function?

anonymous · Answer

correct

anonymous · Answer

this is not logarithmic differentiation...
just use the product rule...(along with the chain rule)

anonymous · Answer

this is an application of the product rule.
given that u and v are both functions of x

$$f \prime(uv) = v \prime u + u \prime v$$

anonymous · Answer

still need help?

anonymous · Answer

Yeah, I'm going over it, and I keep getting to the wrong answer. It doesn't seem like it should be this confusing.

anonymous · Answer

were gonna use that product rule by alexandercpark's post... you are familiar with that right?

anonymous · Answer

Yeah, I am more than familiar with it. I just haven't used it with logs.

anonymous · Answer

|dw:1336380619140:dw|
can you simplify it from here?