Question

найти производную функцию: а)f(x)=x²+x³+3
б)f(x)=x³+2√x
в)y=1+2x/3-5x
г)y=2sinx+1,5cosx

Answer 1

1) f(x)=xˇ3 +2V(x)=3.xˇ2 +2.1/2.xˇ(-1/2)=3xˇ2+ 1/(V(x))
2)y= (1+2x)/(3-5x), y´=(2.(3-5x) - (1+2x)(-5))/(3-5x)ˇ2=
=(6-10x+5+10x)/(3-5x)ˇ2=11/(3-5x)ˇ2
3)y=2.sinx +1,5.cosx, y´=2.osx-1,5.sinx