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人気のある微分積分 >

derivative 5x^2cos(x)+4x

解

導関数

5 x^{2} cos (x) + 4 x

解

5 (2 x cos (x) - x^{2} sin (x)) + 4

解答ステップ

\frac{d}{d x} (5 x^{2} cos (x) + 4 x)

和/差の法則を適用:

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

= \frac{d}{d x} (5 x^{2} cos (x)) + \frac{d}{d x} (4 x)

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

\frac{d}{d x} (4 x) = 4

= 5 (2 x cos (x) - x^{2} sin (x)) + 4

グラフ

人気の例

y^{''}-2y^'-8y=0,y^'(0)=4,y(0)=-2

y^{^{''}} - 2 y^{^{'}} - 8 y = 0, y^{^{'}} (0) = 4, y (0) = - 2

integral of sin(pi)x

\int sin (π) x d x

tangent f(x)=x^2+2,(1,3)

t an g e n t f (x) = x^{2} + 2, (1, 3)

sum from n=1 to infinity of (15/4)^{n+1}

n = 1 \sum \infty (\frac{15}{4})^{n + 1}

(\partial)/(\partial x)(x^{y^3})

\frac{\partial}{\partial x} (x^{y^{3}})