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*cos(x))

Lösung

\frac{\partial}{\partial x} (x \cdot cos (x))

Lösung

cos (x) - x sin (x)

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = x, g = cos (x)

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

\frac{\partial}{\partial x} (x) = 1

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

= 1 \cdot cos (x) + (- sin (x)) x

Vereinfache

= cos (x) - x sin (x)

Beliebte Beispiele

(\partial)/(\partial x)(xcos(y)sin(z))

\frac{\partial}{\partial x} (x cos (y) sin (z))

derivative y=6sqrt(4+x)

d er i v a t i v e y = 6 4 + x

derivative of (cos(x)/(x^2+1))

\frac{d}{d x} (\frac{cos ( x )}{x ^{2} + 1})

tangent o2x2-3x+2

t an g e n t o 2 x 2 - 3 x + 2

integral of \sqrt[11]{x}

\int 11 x d x