Question

СРОЧНООО
f(x)=2-3x²/x-2​

Answer 1

$f(x)=\frac{2-3x^2}{x-2}\Rightarrow f'(x)=\frac{\left(2-3\,{x}^{2}\right)'\cdot \left(x-2\right)-\left(x-2\right)'\cdot \left(2-3\,{x}^{2}\right)}{\left({x-2}\right)^{2}}=\\=\frac{\left(-3\cdot 2\cdot x+0\right)\cdot \left(x-2\right)-\left(1-0\right)\cdot \left(2-3\,{x}^{2}\right)}{\left({x-2}\right)^{2}}=\dfrac{3\,{x}^{2}+6\,\left(2-x\right)\,x-2}{\left({x-2}\right)^{2}}$

Answer 2

Смотри...................