1. ## derrivative

y=2x(log10)(sqrt(x)) notice that log 10, 10 is the base.

2. Product rule + chain rule.
log(b) x = 1/(x+lnb) notice if b = e then the derivative is 1/x

You should know the rest of the derivatives, and I'll leave the number crunching to you.

3. Originally Posted by johntuan
y=2x(log10)(sqrt(x)) notice that log 10, 10 is the base.
Also note that $2x\log_{10}\left(\sqrt{x}\right)=2x\log_{10}\left( x^{\frac{1}{2}}\right)=2x\cdot\tfrac{1}{2}\log_{10 }\left(x\right)=x\log_{10}\left(x\right)$

I'm sure you can take it from here...

--Chris