$y(x)=12x^{4}7$

a$)\frac{dy}{dx}=$

b$)\frac{d^{2}y}{d{x}^2}$ :

$y(x)=x^3{e}^{-2x}$

$\frac{dy}{dx}=$

$PV=nRT$ where $n,R$ and $T$ ar constants

$\frac{dv}{dp}=$

$H=ABTC{T}^{2}D{T}^3,$ wher $A,B,C$ and $D$ are constants

$\frac{dH}{dT}=$

a$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}4x^{2}dx=$

b$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{x^3}dx=$

c$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{nRT}{V}dV=,n,R,$ and $T$ ar contants

$6.PV=nRT$ whel $n,R,$ acel $T$ ar eostants

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}PdV=$

$PV=nRT$ whe $n,R$ ad $T$ are ceretants

${\displaystyle \underset{V_1}{\overset{V_2}{}}}PdV=$

${\displaystyle \underset{T_1}{\overset{T_2}{}}}(abT\frac{c}{T^2})dT=$