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

解答

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

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

求解步骤

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

使用微分加减法定则:

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

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

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

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

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

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

\int \frac{1}{5 x ^{6}} d x

\frac{d}{d x} (x^{4} - 2 x^{2})

\int \frac{3 + 6 sinh ( x )}{x + 2 cosh ( x )} d x

t a y l or (1 - x^{2})^{(\frac{1}{2})}