derivative x/(y^{13)}+Be^y

Lösung

ableitung von

\frac{x}{y ^{13}} + B e^{y}

\frac{1}{y ^{13}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{y ^{13}} + B e^{y})

Behandle

B, y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x}{y ^{13}}) + \frac{d}{d x} (B e^{y})

\frac{d}{d x} (\frac{x}{y ^{13}}) = \frac{1}{y ^{13}}

\frac{d}{d x} (B e^{y}) = 0

= \frac{1}{y ^{13}} + 0

Vereinfache

= \frac{1}{y ^{13}}

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