Question

f(x)=(x³-5)/(x-2) найдите производным

Answer 1

f(x)=(x³-5)/(x-2)

f'(x)=(x³-5)' * (x-2) - (x³-5) * (x-2)' /(x-2)^2 = 2x^3 - 6x^2 + 5 / (x-2)^2

 

Answer 2

Ответ:

$f(x)=\dfrac{x^3-5}{x-2}\ \ ,\ \ \ \ \ \ \Big(\dfrac{u}{v}\Big)'=\dfrac{u'v-uv'}{v^2}\\\\\\f'(x)=\dfrac{3x^2\cdot (x-2)-(x^3-5)\cdot 1}{(x-2)^2}=\dfrac{2x^3-6x^2+5}{(x-2)^2}$