de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 5x^7sin(x)

Lösung

\frac{d}{d x} (5 x^{7} sin (x))

Lösung

5 (7 x^{6} sin (x) + cos (x) x^{7})

Schritte zur Lösung

\frac{d}{d x} (5 x^{7} sin (x))

Entferne die Konstante:

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

= 5 \frac{d}{d x} (x^{7} sin (x))

Wende die Produktregel an:

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

f = x^{7}, g = sin (x)

= 5 (\frac{d}{d x} (x^{7}) sin (x) + \frac{d}{d x} (sin (x)) x^{7})

\frac{d}{d x} (x^{7}) = 7 x^{6}

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

= 5 (7 x^{6} sin (x) + cos (x) x^{7})

Graph

Beliebte Beispiele

(dy)/(dt)=0.3y+26e^{0.3t}

\frac{d y}{d t} = 0.3 y + 26 e^{0.3 t}

derivative (8x^2+4x+8)/(sqrt(x))

d er i v a t i v e \frac{8 x ^{2} + 4 x + 8}{x}

integral of p(p+5)^7

\int p (p + 5)^{7} d p

integral of x/(x^2+6x+10)

\int \frac{x}{x ^{2} + 6 x + 10} d x

y^'+6(tan(6x))y=-cos(6x)

y^{^{'}} + 6 (tan (6 x)) y = - cos (6 x)