derivative f(x)=2(13-x^4)

Lösung

ableitung von

f (x) = 2 (13 - x^{4})

- 8 x^{3}

Schritte zur Lösung

\frac{d}{d x} (2 (13 - x^{4}))

Entferne die Konstante:

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

= 2 \frac{d}{d x} (13 - x^{4})

Wende die Summen-/Differenzregel an:

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

= 2 (\frac{d}{d x} (13) - \frac{d}{d x} (x^{4}))

\frac{d}{d x} (13) = 0

\frac{d}{d x} (x^{4}) = 4 x^{3}

= 2 (0 - 4 x^{3})

Vereinfache

= - 8 x^{3}

\int_{1}^{8} \frac{1}{x 16 x ^{2} - 9} d x

x \to 6 lim (cos (\frac{1}{x - 6}))

\int cos (x) sec^{3} (x) d x

d er i v a t i v e f (x) = \frac{x ^{3} + 3 x + 2}{x ^{2} - 1}

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