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Beliebt Rechnen >

(\partial)/(\partial x)(e^{5xyz-3})

Lösung

\frac{\partial}{\partial x} (e^{5 x yz - 3})

Lösung

e^{5 x yz - 3} \cdot 5 yz

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{5 x yz - 3})

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

e^{5 x yz - 3} \frac{\partial}{\partial x} (5 x yz - 3)

= e^{5 x yz - 3} \frac{\partial}{\partial x} (5 x yz - 3)

\frac{\partial}{\partial x} (5 x yz - 3) = 5 yz

= e^{5 x yz - 3} \cdot 5 yz

Beliebte Beispiele

integral of (1/(sqrt(y+4)-2))

\int (\frac{1}{y + 4 - 2}) d y

integral of-pisin(pi)x

\int - π sin (π) x d x

limit as x approaches 0 of e^{6x}

x \to 0 lim (e^{6 x})

y^{^{'}} = 5 y + y^{5}

derivative of (x^2/(3x+7))

\frac{d}{d x} (\frac{x ^{2}}{3 x + 7})