Exercise $1$

Differentiate the following.

$(1)y=2x$

$(2)y=x^2$

$(3)y=2x^3$

$(4)y=7$

$(5)y=x+6$

$(6)y=x^3+x^2+2$

$(7)y=2x^2-3x$

$(8)y=2x^3-7x$

$(9)y=(x+1)(x-6)$

$(10)y=3-2x$

$(11)y=\frac{1}{2}{x}^2+3x$

$(12)y=\frac{1}{3}x(x^2+x-2)$

$(13)y=0$

$(14)y=x$

$(15)y=x^2+3x-7$

$(16)y=\frac{1}{8}(x^2-6)(x+4)$

$(17)s=5t^3-4t+5$

$(18)P=13-7T+T^2$

$(19)v=3s^2-7s^3$

$(20)z=15-7y$

$(21)=2r^2-7r$

$(22)V=r^2-r^3$

$(23)x=11t^2+10t-7$

$(24)a=5b-17$

$(25)T=3h^3-7h^2+6h-7$

$(26)x=7y-6$

$(27)=7-3t$

$(28)=3t^3-2t^2+7t$

$(29)f=\frac{2}{3}{x}^3-\frac{1}{2}{x}^2+x-2$

$(30)y=17x-\frac{1}{2}{x}^2$

$(31)y=3sin2x$

$(32)y=sin5x$

$(33)y=4cos2x$