derivative 75(1-5/x)

Lösung

ableitung von

75 (1 - \frac{5}{x})

\frac{375}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (75 (1 - \frac{5}{x}))

Entferne die Konstante:

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

= 75 \frac{d}{d x} (1 - \frac{5}{x})

Wende die Summen-/Differenzregel an:

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

= 75 (\frac{d}{d x} (1) - \frac{d}{d x} (\frac{5}{x}))

\frac{d}{d x} (1) = 0

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

= 75 (0 - (- \frac{5}{x ^{2}}))

Vereinfache

75 (0 - (- \frac{5}{x ^{2}})) : \frac{375}{x ^{2}}

= \frac{375}{x ^{2}}

n = 1 \sum \infty (\frac{2}{5})^{n - 1}

t \to \infty lim (t^{4})

d er i v a t i v e f (x) = x^{6} (6 x^{3} + x)^{5}

t an g e n t f (x) = e^{3 x} \cdot ln (4 x)

n = 1 \sum \infty (\frac{7}{8})^{n}