Question

Найти производную функции y=(x^3+x^2-2x/x^7)

Answer 1

y`=((3x²+2x-2)*x^7 -(x³+x²-2x)*7x^6)/x^14=x^6(3x³+2x²-2x-7x³-7x²+14x)/x^14=
=(-4x³-5x²+12x)/x^8=x(-4x²-5x+12)/x^8=(-4x²-5x+12)/x^7