y=arcsinx³; у'=3х²*(1/√(1-(х³)²))=3х²/√(1-х⁶)
y=(1+x²)/(1+x); у=(2х*(1+х)-1*(1+х²))/(1+х)²=(2х²+2х-1-х²)/(1+х)²=(2х-1+х²)/(1+х)²
y=x⁴*sin²x+ln4х; у'=4х³*sin²x+2х⁴(sinx)*(сosx)+4/(4х)=
4х³*sin²x+х⁴(sin2x)+1/х.
y=arcsinx³; у'=3х²*(1/√(1-(х³)²))=3х²/√(1-х⁶)
y=(1+x²)/(1+x); у=(2х*(1+х)-1*(1+х²))/(1+х)²=(2х²+2х-1-х²)/(1+х)²=(2х-1+х²)/(1+х)²
y=x⁴*sin²x+ln4х; у'=4х³*sin²x+2х⁴(sinx)*(сosx)+4/(4х)=
4х³*sin²x+х⁴(sin2x)+1/х.