de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=x^3-13x^2+48x+8

Lösung

ableitung von

y = x^{3} - 13 x^{2} + 48 x + 8

Lösung

3 x^{2} - 26 x + 48

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 13 x^{2} + 48 x + 8)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (13 x^{2}) + \frac{d}{d x} (48 x) + \frac{d}{d x} (8)

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (13 x^{2}) = 26 x

\frac{d}{d x} (48 x) = 48

\frac{d}{d x} (8) = 0

= 3 x^{2} - 26 x + 48 + 0

Vereinfache

= 3 x^{2} - 26 x + 48

Graph

Beliebte Beispiele

(\partial)/(\partial x)(5y)

\frac{\partial}{\partial x} (5 y)

(\partial)/(\partial x)(sqrt(6-x^7-y^5))

\frac{\partial}{\partial x} (6 - x^{7} - y^{5})

derivative of arctan(x+2)

\frac{d}{d x} (arctan (x + 2))

derivative of sin(x-y)

\frac{d}{d x} (sin (x - y))

integral of (20x^3)/(3+5x^4)

\int \frac{20 x ^{3}}{3 + 5 x ^{4}} d x