derivative cos^9(t)

解答

导数

cos^{9} (t)

- 9 cos^{8} (t) sin (t)

求解步骤

\frac{d}{d t} (cos^{9} (t))

使用连锁律:

9 (cos (t))^{8} \frac{d}{d t} (cos (t))

= 9 (cos (t))^{8} \frac{d}{d t} (cos (t))

\frac{d}{d t} (cos (t)) = - sin (t)

= 9 (cos (t))^{8} (- sin (t))

化简

= - 9 cos^{8} (t) sin (t)

\frac{\partial}{\partial x} (2 (y^{2} - x^{2}) ln (x + y))

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

\int \frac{1}{4 x ^{2} + 1} d x

\int \frac{1}{y + y} d y

y^{^{'}} = sin (x^{2})