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^2y+cos(x^2))

Lösung

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

Lösung

4 y x - sin (x^{2}) \cdot 2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (2 x^{2} y) = 4 y x

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

= 4 y x - sin (x^{2}) \cdot 2 x

Beliebte Beispiele

derivative (t^2-1)/(t^2+t-2)

d er i v a t i v e \frac{t ^{2} - 1}{t ^{2} + t - 2}

integral of 10x

\int 10 x d x

derivative f(x)=-3e^{x^2+x-1}

d er i v a t i v e f (x) = - 3 e^{x^{2} + x - 1}

x^2y^'+2xy=ln(x),y(1)=7

x^{2} y^{^{'}} + 2 x y = ln (x), y (1) = 7

derivative y=4+sqrt(x)

d er i v a t i v e y = 4 + x