derivative of ((-2x^2+2x)/((3x-3)))

解答

\frac{d}{d x} (\frac{( - 2 x ^{2} + 2 x )}{( 3 x - 3 )})

- \frac{2}{3}

十进制

- 0.66666 \dots

求解步骤

\frac{d}{d x} (\frac{( - 2 x ^{2} + 2 x )}{( 3 x - 3 )})

化简

\frac{( - 2 x ^{2} + 2 x )}{( 3 x - 3 )} : - \frac{2 x}{3}

= \frac{d}{d x} (- \frac{2 x}{3})

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{2}{3} \frac{d x}{d x}

使用常见微分定则:

\frac{d x}{d x} = 1

= - \frac{2}{3} \cdot 1

化简

= - \frac{2}{3}

\frac{d}{d x} (\frac{40}{3 x ^{\frac{1}{3}}})

x \to 0 lim (\frac{x + 4 - 2}{sin ( 5 x )})

\int 39 arctan (x) d x

\int 6 t sin (t) d t

a re a y = 5 x - x^{2}, x