derivative y=sec^2(x)

解答

导数

y = sec^{2} (x)

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

求解步骤

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

使用连锁律:

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

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

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

= 2 sec (x) sec (x) tan (x)

化简

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

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

d er i v a t i v e 3 x

s l o p e in t erce pt (- 6, 5), (- 3, - 3)

d er i v a t i v e f (x) = x^{3}

in t e g r a l e^{- x^{2}}

d er i v a t i v e x e^{x}