derivative 5500(1-1/50 t)^2

Lösung

ableitung von

5500 (1 - \frac{1}{50} t)^{2}

- 220 (1 - \frac{t}{50})

Schritte zur Lösung

\frac{d}{d t} (5500 (1 - \frac{1}{50} t)^{2})

Vereinfache

5500 (1 - \frac{1}{50} t)^{2} : 5500 (1 - \frac{t}{50})^{2}

= \frac{d}{d t} (5500 (1 - \frac{t}{50})^{2})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 5500 \frac{d}{d t} ((1 - \frac{t}{50})^{2})

Wende die Kettenregel an:

2 (1 - \frac{t}{50}) \frac{d}{d t} (1 - \frac{t}{50})

= 2 (1 - \frac{t}{50}) \frac{d}{d t} (1 - \frac{t}{50})

\frac{d}{d t} (1 - \frac{t}{50}) = - \frac{1}{50}

= 5500 \cdot 2 (1 - \frac{t}{50}) (- \frac{1}{50})

Vereinfache

5500 \cdot 2 (1 - \frac{t}{50}) (- \frac{1}{50}) : - 220 (1 - \frac{t}{50})

= - 220 (1 - \frac{t}{50})

x \to \infty lim (- 11)

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

\int \frac{8 - 8 x}{1 - x} d x

x \to 0 lim (x + \frac{1}{x})

s l o p e y = ln (x^{3}) x = 12