derivative of sin(sqrt(2x))

解答

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

\frac{cos ( 2 x )}{2 x}

求解步骤

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

化简

sin (2 x) : sin (2 x)

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

使用连锁律:

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

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

\frac{d}{d x} (2 x) = \frac{1}{2 x}

= cos (2 x) \frac{1}{2 x}

化简

cos (2 x) \frac{1}{2 x} : \frac{cos ( 2 x )}{2 x}

= \frac{cos ( 2 x )}{2 x}

\frac{d}{d x} (cos ((π x)^{7}))

\frac{d}{d x} ((x^{3} - 3 x)^{4})

\int ln (15 x) d x

y^{^{''}} - 20 y^{^{'}} + 100 y = 0

d y - (y - 1)^{2} d x = 0