展开 (sin(θ))/(d/(dθ)((θx(θ))(θ-sin(θ))))

解答

展开

\frac{sin ( θ )}{\frac{d}{d θ} ( ( θ x ( θ ) ) ( θ - sin ( θ ) ) )}

\frac{sin ( θ )}{\frac{d}{d θ} ( θ ^{2} x ( θ ) - θ sin ( θ ) x ( θ ) )}

求解步骤

\frac{sin ( θ )}{\frac{d}{d θ} ( ( θ x ( θ ) ) ( θ - sin ( θ ) ) )}

去除括号:

(a) = a

= \frac{sin ( θ )}{\frac{d}{d θ} ( θ x ( θ ) ( θ - sin ( θ ) ) )}

乘开

θ x (θ) (θ - sin (θ)) : θ^{2} x (θ) - θ sin (θ) x (θ)

= \frac{sin ( θ )}{\frac{d}{d θ} ( θ ^{2} x ( θ ) - θ sin ( θ ) x ( θ ) )}

e x p an d \frac{8 π}{( w - π ) ^{2}}

e x p an d \frac{8 x - 5}{3 ( 5 x + 8 ) ^{\frac{4}{3}} ( x ^{2} + 1 ) ^{\frac{5}{6}}}

s im pl i f y (x - 4 x + 5) \cdot (x + 4 x + 5)

e x p an d (e^{x} + e^{- x}) \cdot (e^{x} - e^{- x})

e x p an d \frac{s ^{5} + 4 s ^{4} - s ^{3} + 2 s - 1}{( s - 4 ) ^{4} ( s ^{2} + 2 s + 3 )}