d/(dθ)(sin^2(θ))

解答

\frac{d}{d θ} (sin^{2} (θ))

sin (2 θ)

求解步骤

\frac{d}{d θ} (sin^{2} (θ))

使用连锁律:

2 sin (θ) \frac{d}{d θ} (sin (θ))

= 2 sin (θ) \frac{d}{d θ} (sin (θ))

\frac{d}{d θ} (sin (θ)) = cos (θ)

= 2 sin (θ) cos (θ)

使用倍角公式:

2 sin (x) cos (x) = sin (2 x)

= sin (2 θ)

y^{^{''}} + 49 y = 3 tan (7 x)

t an g e n t f (x) = 2 x + 7, at x = 9

\int \frac{4 x - 11}{x ^{2} - 3 x - 4} d x

\frac{d}{d x} (e^{x} cos (3 x))

x \to 5 - lim (\frac{x - 6}{x - 5})