de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 9(sin(x)+xcos(x))

Lösung

ableitung von

9 (sin (x) + x cos (x))

Lösung

9 (2 cos (x) - x sin (x))

Schritte zur Lösung

\frac{d}{d x} (9 (sin (x) + x cos (x)))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} (sin (x) + x cos (x))

Wende die Summen-/Differenzregel an:

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

= 9 (\frac{d}{d x} (sin (x)) + \frac{d}{d x} (x cos (x)))

\frac{d}{d x} (sin (x)) = cos (x)

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

= 9 (cos (x) + cos (x) - x sin (x))

Vereinfache

= 9 (2 cos (x) - x sin (x))

Graph

Beliebte Beispiele

derivative f(t)=(3t-2)^5

d er i v a t i v e f (t) = (3 t - 2)^{5}

fläche y=x^3,0<= x<= 5

a re a y = x^{3}, 0 \leq x \leq 5

(\partial)/(\partial y)((xy)/(cos(x)))

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

inverselaplace s^2+4s+13

in v erse l a pl a ce s^{2} + 4 s + 13

(\partial)/(\partial z)(cos(z){w}(z))

\frac{\partial}{\partial z} (cos (z) w (z))