Найти производные первого порядка.
Задание 1:
y=cos(ln(1-(x^2)))
y'=-sin(ln(1-(x^2)))*(1/(1-(x^2))*2x
y'=(-2*x*sin(ln(1-(x^2))))/(1-(x^2))
Задание2:
x=arccos t y=√((1-(t^2))^3)
dy/dt=(1/(2*√((1-(t^2))^2))*3*(1-(t^2))*(-2*t)=3*t*((1-(t^2))^2)/(√((1-(t^2))
dx/dt= -1/√(1-(t^2))
dy/dx= (3t*((1-(t^2))^2)*√(1-(t^2))/(√((1-(t^2))^3)
Проверьте пожалуйста.