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Beliebt Rechnen >

derivative A/(y^9)+Be^y

Lösung

ableitung von

\frac{A}{y ^{9}} + B e^{y}

Lösung

- \frac{9 A}{y ^{10}} + B e^{y}

Schritte zur Lösung

\frac{d}{d y} (\frac{A}{y ^{9}} + B e^{y})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d y} (\frac{A}{y ^{9}}) + \frac{d}{d y} (B e^{y})

\frac{d}{d y} (\frac{A}{y ^{9}}) = - \frac{9 A}{y ^{10}}

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

= - \frac{9 A}{y ^{10}} + B e^{y}

Beliebte Beispiele

integral of 3/(x^2+9)

\int \frac{3}{x ^{2} + 9} d x

integral of t/1

\int \frac{t}{1} d t

integral of 4tan(4x)

\int 4 tan (4 x) d x

derivative of xsqrt(6-x)

\frac{d}{d x} (x 6 - x)

4 x d y - y d x = x^{2} d y