de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(2x^3y+sin(x^3))

Lösung

\frac{\partial}{\partial x} (2 x^{3} y + sin (x^{3}))

Lösung

6 y x^{2} + cos (x^{3}) \cdot 3 x^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{3} y + sin (x^{3}))

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x^{3} y) + \frac{\partial}{\partial x} (sin (x^{3}))

\frac{\partial}{\partial x} (2 x^{3} y) = 6 y x^{2}

\frac{\partial}{\partial x} (sin (x^{3})) = cos (x^{3}) \cdot 3 x^{2}

= 6 y x^{2} + cos (x^{3}) \cdot 3 x^{2}

Beliebte Beispiele

integral of (2x^2+3x)^3

\int (2 x^{2} + 3 x)^{3} d x

derivative y=(f(x))/(x^5)

d er i v a t i v e y = \frac{f ( x )}{x ^{5}}

derivative 2tan^2(7x)

d er i v a t i v e 2 tan^{2} (7 x)

(2xy+3)dx+(x^2-1)dy=0

(2 x y + 3) d x + (x^{2} - 1) d y = 0

3 x y^{^{'}} + 7 y = 0