Question

найти производные функций:
1) S= t^2/2-t
2) f(x)= - 1/x^2
3) z= 12sinx

Answer 1

1)S= t^2/2-t 
S ' = ((t^2)'(2-t)-(2-t)'(t^2))/(2-t)^2
S ' =(2t(2-t)+t^2)/(2-t)^2
S ' =(4t-t^2)/(2-t)^2
S ' =(4t-t^2)/(2-t)^2
2)f(x)= - 1/x^2
f ' (x)=((-1)'(x^2)-(x^2)'(-1))/(x^2)^2
f ' (x)=2x/x^4
f ' (x)=2/x^3
3)z= 12sinx
z ' =12cosx

^^