y=2x(log10)(sqrt(x)) notice that log 10, 10 is the base.
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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.
Originally Posted by johntuan y=2x(log10)(sqrt(x)) notice that log 10, 10 is the base. Also note that $\displaystyle 2x\log_{10}\left(\sqrt{x}\right)=2x\log_{10}\left( x^{\frac{1}{2}}\right)=2x\cdot\tfrac{1}{2}\log_{10 }\left(x\right)=x\log_{10}\left(x\right)$ I'm sure you can take it from here... --Chris
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