derivative of 3tan^2(x)

解答

\frac{d}{d x} (3 tan^{2} (x))

6 sec^{2} (x) tan (x)

求解步骤

\frac{d}{d x} (3 tan^{2} (x))

将常数提出:

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

= 3 \frac{d}{d x} (tan^{2} (x))

使用连锁律:

2 tan (x) \frac{d}{d x} (tan (x))

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

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

= 3 \cdot 2 tan (x) sec^{2} (x)

化简

= 6 sec^{2} (x) tan (x)

x \to 0 lim (\frac{8}{x ^{2} + x} - \frac{8}{x})

\frac{d}{d x} (3 arcsin (x))

x \to 1 lim (\frac{1}{a x + 2})

\int_{- 5}^{1} ∣ x + 2 ∣ d x

\frac{\partial}{\partial y} (- 4 y)