derivative of ((x+a^3)/b-c)

Lösung

\frac{d}{d x} (\frac{( x + a ) ^{3}}{b} - c)

\frac{3 ( x + a ) ^{2}}{b}

Schritte zur Lösung

\frac{d}{d x} (\frac{( x + a ) ^{3}}{b} - c)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{( x + a ) ^{3}}{b}) - \frac{d c}{d x}

\frac{d}{d x} (\frac{( x + a ) ^{3}}{b}) = \frac{3 ( x + a ) ^{2}}{b}

\frac{d c}{d x} = 0

= \frac{3 ( x + a ) ^{2}}{b} - 0

Vereinfache

= \frac{3 ( x + a ) ^{2}}{b}

\int \frac{- x}{x + 1 - x + 1} d x

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