Упр.802 ГДЗ Алимов 10-11 класс (Алгебра)

$$f(x)=x^2+x$$

$$f'(x)=(x^2)’ + (x)’ = 2x+1$$

$$f(x)=x^2-x$$

$$f'(x)=(x^2)’ — (x)’ = 2x-1$$

$$f(x)=3x^2$$

$$f'(x)=3\cdot (x^2)’=3\cdot 2x=6x$$

$$f(x)=-17x^2$$

$$f'(x)=-17\cdot (x^2)’=-17\cdot 2x=-34x$$

$$f(x)=-4x^3$$

$$f'(x)=-4\cdot (x^3)’=-4\cdot 3x^2=-12x^2$$

$$f(x)=0{,}5x^3$$

$$f'(x)=0{,}5\cdot (x^3)’=0{,}5\cdot 3x^2=1{,}5x^2$$

$$f(x)=13x^2+26$$

$$f'(x)=(13x^2)’ + (26)’ = 13\cdot 2x + 0 = 26x$$

$$f(x)=8x^2-16$$

$$f'(x)=(8x^2)’ — (16)’ = 8\cdot 2x — 0 = 16x$$