derivative of (x^2+8^4)

Lösung

\frac{d}{d x} ((x^{2} + 8)^{4})

8 x (x^{2} + 8)^{3}

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 8)^{4})

Wende die Kettenregel an:

4 (x^{2} + 8)^{3} \frac{d}{d x} (x^{2} + 8)

= 4 (x^{2} + 8)^{3} \frac{d}{d x} (x^{2} + 8)

\frac{d}{d x} (x^{2} + 8) = 2 x

= 4 (x^{2} + 8)^{3} \cdot 2 x

Vereinfache

= 8 x (x^{2} + 8)^{3}

ma c l a u r in f (x) = arctan (3 x)

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d er i v a t i v e \frac{x}{x + 7}

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