derivative tan^2(5θ)

解答

导数

tan^{2} (5 θ)

10 sec^{2} (5 θ) tan (5 θ)

求解步骤

\frac{d}{d θ} (tan^{2} (5 θ))

使用连锁律:

2 tan (5 θ) \frac{d}{d θ} (tan (5 θ))

= 2 tan (5 θ) \frac{d}{d θ} (tan (5 θ))

\frac{d}{d θ} (tan (5 θ)) = sec^{2} (5 θ) \cdot 5

= 2 tan (5 θ) sec^{2} (5 θ) \cdot 5

化简

= 10 sec^{2} (5 θ) tan (5 θ)

n = 1 \sum \infty 5 (- 1)^{n} n x^{n}

l a pl a ce t r an s f or m e^{- 4}

\frac{d}{d x} ((sin (x^{2}) + 1)^{\frac{1}{f ( x )}})

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

n or ma l - x^{3} + 2 x^{2} - 2, at x = 1