derivative of (tan(-1(7x))2)

解答

\frac{d}{d x} ((tan (- 1 (7 x))) 2)

- 14 sec^{2} (7 x)

求解步骤

\frac{d}{d x} ((tan (- 1 \cdot (7 x))) \cdot 2)

化简

(tan (- 1 \cdot (7 x))) \cdot 2 : - 2 tan (7 x)

= \frac{d}{d x} (- 2 tan (7 x))

将常数提出:

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

= - 2 \frac{d}{d x} (tan (7 x))

使用连锁律:

sec^{2} (7 x) \frac{d}{d x} (7 x)

= sec^{2} (7 x) \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= - 2 sec^{2} (7 x) \cdot 7

化简

= - 14 sec^{2} (7 x)

\frac{d}{d x} (\frac{x ^{4}}{1 - x ^{3}})

\frac{d y}{d x} = \frac{x \cdot y ^{2}}{( x ^{2} + 1 )}

d er i v a t i v e \frac{2}{x x}

x \to \infty lim (x (2))

\frac{d}{d x} (3 A e^{3 x})