de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (x-4^8(2x+3)^6)

Lösung

\frac{d}{d x} ((x - 4)^{8} (2 x + 3)^{6})

Lösung

8 (x - 4)^{7} (2 x + 3)^{6} + 12 (2 x + 3)^{5} (x - 4)^{8}

Schritte zur Lösung

\frac{d}{d x} ((x - 4)^{8} (2 x + 3)^{6})

Wende die Produktregel an:

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

f = (x - 4)^{8}, g = (2 x + 3)^{6}

= \frac{d}{d x} ((x - 4)^{8}) (2 x + 3)^{6} + \frac{d}{d x} ((2 x + 3)^{6}) (x - 4)^{8}

\frac{d}{d x} ((x - 4)^{8}) = 8 (x - 4)^{7}

\frac{d}{d x} ((2 x + 3)^{6}) = 12 (2 x + 3)^{5}

= 8 (x - 4)^{7} (2 x + 3)^{6} + 12 (2 x + 3)^{5} (x - 4)^{8}

Graph

Beliebte Beispiele

y^{''}-8y^'+17y=0,y(0)=4

y^{^{''}} - 8 y^{^{'}} + 17 y = 0, y (0) = 4

taylor 1-cos(θ)

t a y l or 1 - cos (θ)

limit as x approaches-1 of-x^5-3x^4

x \to - 1 lim (- x^{5} - 3 x^{4})

integral of sqrt(16x-x^2)

\int 16 x - x^{2} d x

integral from-1 to 3 of x^5

\int_{- 1}^{3} x^{5} d x