derivative of 5x^2sin(x-x)

解答

\frac{d}{d x} (5 x^{2} sin (x) - x)

5 (2 x sin (x) + cos (x) x^{2}) - 1

求解步骤

\frac{d}{d x} (5 x^{2} sin (x) - x)

使用微分加减法定则:

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

= \frac{d}{d x} (5 x^{2} sin (x)) - \frac{d x}{d x}

\frac{d}{d x} (5 x^{2} sin (x)) = 5 (2 x sin (x) + cos (x) x^{2})

\frac{d x}{d x} = 1

= 5 (2 x sin (x) + cos (x) x^{2}) - 1

\frac{d}{d x} (cos (7))

x y^{^{'}} + y = - 4 x y^{2}

x \to 3 - lim (\frac{4 - x}{x - 3})

\int_{0}^{10} 1 + x d x

\int_{- \infty}^{0} \frac{1}{6 - 5 x} d x