derivative y=(sin(x))^5

解答

导数

y = (sin (x))^{5}

5 sin^{4} (x) cos (x)

求解步骤

\frac{d}{d x} ((sin (x))^{5})

使用连锁律:

5 (sin (x))^{4} \frac{d}{d x} (sin (x))

= 5 (sin (x))^{4} \frac{d}{d x} (sin (x))

\frac{d}{d x} (sin (x)) = cos (x)

= 5 (sin (x))^{4} cos (x)

化简

= 5 sin^{4} (x) cos (x)

d er i v a t i v e 2 - cos^{2} (x)

d er i v a t i v e \frac{tanh ( 4 x + 1 )}{5}

\frac{d}{d x} \frac{1}{( x + { n } ) \cdot x}

d er i v a t i v e (k + 2 l)^{\frac{1}{3}}

d er i v a t i v e 2 \cdot x \cdot e^{- 4 \cdot x^{3}}