derivative of sin^2(x-sin(x^2))

解答

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

sin (2 x) - cos (x^{2}) \cdot 2 x

求解步骤

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

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (sin (x^{2})) = cos (x^{2}) \cdot 2 x

= sin (2 x) - cos (x^{2}) \cdot 2 x

s im pl i f y 5 t^{3}

s l o p e in t erce pt (4, 1), (6, 7)

\int sin^{2} (x) sin (x) d x

\int_{1}^{10} \frac{1}{( x - 2 ) ^{\frac{1}{3}}} d x

\frac{\partial}{\partial x} (4 x^{4 y})