Exercise $1.$ Evaluate the followings derivatives a$)$ and integrals b$)$

a$)y=3x^5,y=e^{\frac{1}{x}}sinx,y=\frac{x}{ln(2x)}$

b$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}2xdx,{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}x\sqrt[\phantom{2}]{1-x^2}dx,{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{x}^{2}lnxdx,$