627. Calculate the derivative of the function $y=x^{3} \log _{5} x$.
Solution. $y^{\prime}=\left(x^{3}\right)^{\prime} \log _{5} x+x^{3} \cdot\left(\log _{5} x\right)^{\prime}=3 x^{2} \log _{5} x+$ $+x^{3} \cdot \frac{1}{x \ln 5}=x^{2}\left(3 \log _{5} x+\frac{1}{\ln 5}\right)$.

Using formulas and rules of differentiation, find the derivatives of the given functions.

a) Algebraic functions