de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative (5x^2+3)(2x-5)

Lösung

ableitung von

(5 x^{2} + 3) (2 x - 5)

Lösung

30 x^{2} - 50 x + 6

Schritte zur Lösung

\frac{d}{d x} ((5 x^{2} + 3) (2 x - 5))

Wende die Produktregel an:

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

f = 5 x^{2} + 3, g = 2 x - 5

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

\frac{d}{d x} (5 x^{2} + 3) = 10 x

\frac{d}{d x} (2 x - 5) = 2

= 10 x (2 x - 5) + 2 (5 x^{2} + 3)

Vereinfache

10 x (2 x - 5) + 2 (5 x^{2} + 3) : 30 x^{2} - 50 x + 6

= 30 x^{2} - 50 x + 6

Graph

Beliebte Beispiele

integral of 1/(sqrt(4x^2-25))

\int \frac{1}{4 x ^{2} - 25} d x

y^{^{'}} = - (1 + y)^{4}

integral of t^4e^{-st}

\int t^{4} e^{- s t} d t

derivative of (5xln(3x+1)/(1-e^{2x)})

\frac{d}{d x} (\frac{5 x ln ( 3 x + 1 )}{1 - e ^{2 x}})

integral from 0 to 1 of 7cos(3x)

\int_{0}^{1} 7 cos (3 x) d x