Question

найти производную
y= (-4x^3 +5cosx)/(4x-2x^2)

Answer 1

Ответ:(8x⁴+64x³-20xsinx-20cosx+20xcosx)/(4x-2x²)²

Объяснение:

y= (-4x³+5cosx)/(4x-2x²)

(u/v)'=(u'v-uv')/v²

(xⁿ)'=n*xⁿ⁻¹

(cosx)'=-sinx

y'= ((-4x³+5cosx)/(4x-2x²))'=

((-12x²-5sinx)*(4x-2x²)-(4-4x)*(-4x³+5cosx))/(4x-2x²)²=

(48х³+24х⁴-20хsinx+16x³-20cosx-16x⁴+20xcosx)/(4x-2x²)²=

(8x⁴+64x³-20xsinx-20cosx+20xcosx)/(4x-2x²)²