derivative of-7ln(5x^2-11)

解答

\frac{d}{d x} (- 7 ln (5 x^{2} - 11))

- \frac{70 x}{5 x ^{2} - 11}

求解步骤

\frac{d}{d x} (- 7 ln (5 x^{2} - 11))

将常数提出:

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

= - 7 \frac{d}{d x} (ln (5 x^{2} - 11))

使用连锁律:

\frac{1}{5 x ^{2} - 11} \frac{d}{d x} (5 x^{2} - 11)

= \frac{1}{5 x ^{2} - 11} \frac{d}{d x} (5 x^{2} - 11)

\frac{d}{d x} (5 x^{2} - 11) = 10 x

= - 7 \cdot \frac{1}{5 x ^{2} - 11} \cdot 10 x

化简

- 7 \cdot \frac{1}{5 x ^{2} - 11} \cdot 10 x : - \frac{70 x}{5 x ^{2} - 11}

= - \frac{70 x}{5 x ^{2} - 11}

\int 1 0^{x^{2}} x d x

x \to - \infty lim (x^{3} e^{x})

x \to - 2 - lim (f (x) x)

x \to 0 lim (\frac{2}{x ^{3} + x})

d er i v a t i v e y = π