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Beliebt Rechnen >

d/(d{p)}({p}^4+a^{6.2}-c^{6.3})

Lösung

\frac{d}{d p} (p^{4} + a^{6.2} - c^{6.3})

Lösung

4 p^{3}

Schritte zur Lösung

\frac{d}{d p} (p^{4} + a^{6.2} - c^{6.3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d p} (p^{4}) + \frac{d}{d p} (a^{6.2}) - \frac{d}{d p} (c^{6.3})

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

\frac{d}{d p} (a^{6.2}) = 0

\frac{d}{d p} (c^{6.3}) = 0

= 4 p^{3} + 0 - 0

Vereinfache

= 4 p^{3}

Beliebte Beispiele

derivative 2sin^2(x)-cos^2(x)

d er i v a t i v e 2 sin^{2} (x) - cos^{2} (x)

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d er i v a t i v e y = - e^{x} (x^{2} - 2 x + 3)

derivative log_{10}((1+x)/n)

d er i v a t i v e lo g_{10} (\frac{1 + x}{n})

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d er i v a t i v e \frac{x ^{2}}{a ^{2}}

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d er i v a t i v e \frac{ln ( x ^{2} )}{2}