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)(x^2cos(x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = cos (x)

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

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

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

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

Vereinfache

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

Beliebte Beispiele

y^{^{'}} + x y = 1

integral of 1+2sin(x)+sin^2(x)

\int 1 + 2 sin (x) + sin^{2} (x) d x

integral of 2^xtan(3-2^x)

\int 2^{x} tan (3 - 2^{x}) d x

2sqrt(xy)(dy)/(dx)=5

2 x y \frac{d y}{d x} = 5

limit as x approaches 2 of 3x+4

x \to 2 lim (3 x + 4)