Объяснение:
1) y=(6x⁴+3)/x³
y'= ((6x⁴+3)'x³-(6x⁴+3)*(x³)')/x⁶= (24x³*x³-6x⁴*3x²-3*3x²)/x⁶= (6x⁶-9x²)/x⁶= (6x⁴-9)/x⁴
2) y=(x⁴+4x-5)/(x³+4)
y'= ((x⁴+4x-5)'(x³+4)-(x⁴+4x-5)*(x³+4)')/(x³+4)²= ((4x³+4)(x³+4)-(x⁴+4x-5)*3x²)/(x³+4)²= (x⁶+8x³+15x²+16)/(x³+4)²
Объяснение:
1) y=(6x⁴+3)/x³
y'= ((6x⁴+3)'x³-(6x⁴+3)*(x³)')/x⁶= (24x³*x³-6x⁴*3x²-3*3x²)/x⁶= (6x⁶-9x²)/x⁶= (6x⁴-9)/x⁴
2) y=(x⁴+4x-5)/(x³+4)
y'= ((x⁴+4x-5)'(x³+4)-(x⁴+4x-5)*(x³+4)')/(x³+4)²= ((4x³+4)(x³+4)-(x⁴+4x-5)*3x²)/(x³+4)²= (x⁶+8x³+15x²+16)/(x³+4)²