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Beliebt Rechnen >

(\partial)/(\partial x)(e^{3xyz-7})

Lösung

\frac{\partial}{\partial x} (e^{3 x yz - 7})

Lösung

e^{3 x yz - 7} \cdot 3 yz

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{3 x yz - 7})

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

e^{3 x yz - 7} \frac{\partial}{\partial x} (3 x yz - 7)

= e^{3 x yz - 7} \frac{\partial}{\partial x} (3 x yz - 7)

\frac{\partial}{\partial x} (3 x yz - 7) = 3 yz

= e^{3 x yz - 7} \cdot 3 yz

Beliebte Beispiele

sum from n=1 to infinity of n(5/3)^n

n = 1 \sum \infty n (\frac{5}{3})^{n}

t a y l or z^{i}

derivative of x^2+4x+3

\frac{d}{d x} (x^{2} + 4 x + 3)

limit as x approaches 1-of 1/x

x \to 1 - lim (\frac{1}{x})

integral of 8/((x-2)(x+6))

\int \frac{8}{( x - 2 ) ( x + 6 )} d x