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^3-8x^2+21x+2

Lösung

ableitung von

y = x^{3} - 8 x^{2} + 21 x + 2

Lösung

3 x^{2} - 16 x + 21

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 8 x^{2} + 21 x + 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (8 x^{2}) + \frac{d}{d x} (21 x) + \frac{d}{d x} (2)

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

\frac{d}{d x} (8 x^{2}) = 16 x

\frac{d}{d x} (21 x) = 21

\frac{d}{d x} (2) = 0

= 3 x^{2} - 16 x + 21 + 0

Vereinfache

= 3 x^{2} - 16 x + 21

Graph

Beliebte Beispiele

derivative y=(90)/(x^5)

d er i v a t i v e y = \frac{90}{x ^{5}}

2y^'-y=4asin(3t)

2 y^{^{'}} - y = 4 a sin (3 t)

derivative G(s)=(8s^2)/(7e^s+s)

d er i v a t i v e G (s) = \frac{8 s ^{2}}{7 e ^{s} + s}

derivative ((x^3-6x)^9)/9

d er i v a t i v e \frac{( x ^{3} - 6 x ) ^{9}}{9}

integral of ((x^3))/(1+x^2)

\int \frac{( x ^{3} )}{1 + x ^{2}} d x