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Beliebt Rechnen >

(\partial)/(\partial x)(6y-5x^2e^{5y})

Lösung

\frac{\partial}{\partial x} (6 y - 5 x^{2} e^{5 y})

Lösung

- 10 e^{5 y} x

Schritte zur Lösung

\frac{\partial}{\partial x} (6 y - 5 x^{2} e^{5 y})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 y) - \frac{\partial}{\partial x} (5 x^{2} e^{5 y})

\frac{\partial}{\partial x} (6 y) = 0

\frac{\partial}{\partial x} (5 x^{2} e^{5 y}) = 10 e^{5 y} x

= 0 - 10 e^{5 y} x

Vereinfache

= - 10 e^{5 y} x

Beliebte Beispiele

integral of cot(ax-b)

\int cot (a x - b) d x

derivative \sqrt[11]{x}

d er i v a t i v e 11 x

derivative tan^2(7x)

d er i v a t i v e tan^{2} (7 x)

integral of (-1200x)/(sqrt(25-x^2))

\int \frac{- 1200 x}{25 - x ^{2}} d x

derivative 3.23e^{-61.4t}

d er i v a t i v e 3.23 e^{- 61.4 t}