de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative-t^3+15t^2-72t

Lösung

ableitung von

- t^{3} + 15 t^{2} - 72 t

Lösung

- 3 t^{2} + 30 t - 72

Schritte zur Lösung

\frac{d}{d t} (- t^{3} + 15 t^{2} - 72 t)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d t} (t^{3}) + \frac{d}{d t} (15 t^{2}) - \frac{d}{d t} (72 t)

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

\frac{d}{d t} (15 t^{2}) = 30 t

\frac{d}{d t} (72 t) = 72

= - 3 t^{2} + 30 t - 72

Graph

Beliebte Beispiele

(\partial)/(\partial y)(sqrt(3x^2+4y^2))

\frac{\partial}{\partial y} (3 x^{2} + 4 y^{2})

limit as x approaches 0 of 1+cos^3(x)

x \to 0 lim (1 + cos^{3} (x))

y^'*sqrt(1+x^2)=xy^2

y^{^{'}} \cdot 1 + x^{2} = x y^{2}

derivative of sqrt(7+5x)

\frac{d}{d x} (7 + 5 x)

f (x) = \frac{1}{x + 4}