Răspuns:
Folosesti formula
f(x)=h*g
f `(x)=h `g+h g`
a)f(x)=x(1+x)+4x(x-2)+1
f `(x)= x `(1+x)+x(1+x) `+4x `(x-2)+4x(x-2) `+1`=
1+x+x+4(x-2)+4x+0
1+2x+4x-8+4x=10x-7
b)f(x)=5(x+1/5)(x+3/10)+2x=
(5x+1)(x+3/10)+2x
f `(x)=(5x+1) `(x+3/10)+(5x+1)(x+3/10) `+2x`=
5(x+3/10)+5x+1+2
5x+3/2+5x+3=
10x+9/2
Explicație pas cu pas: