PLEASE ANSWER ALL QUESTIONS \ \ \ Find derivatives

y^(')=f^(')(x)

of the following functions

y=f(x)

\ (Total marks 16 but marks 4 for each one):\ (1)

y=x^(2)sin\\\\pi x

\ (2)

y=xarctanx

\ (3)

y=f(x)

is determined by the equation

xe^(y)=y-1

\ (4) If

f(t)=\\\\sqrt(4t+1)

, find

f^('')(2)

.

2. Find derivatives y=f(x) of the following functions y=f(x) (Total marks 16 but marks 4 for each one): (1) y=x2sinx (2) y=xarctanx (3) y=f(x) is determined by the equation xey=y1 (4) If f(t)=4t+1, find f(2)