derivative f(x)=3(5-x)^2

Lösung

ableitung von

f (x) = 3 (5 - x)^{2}

- 6 (5 - x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 3 \cdot 2 (5 - x) (- 1)

Vereinfache

= - 6 (5 - x)

\frac{d}{d x} ((9 x + 2)^{\frac{2}{3}})

\int sin (a x) cos (a x) d x

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

\int_{1}^{2} \frac{ln ( t )}{t ^{2}} d t

\int \frac{sin ( x )}{1 - sin ( x )} d x