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Beliebt Rechnen >

derivative of e^{3x+2y}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= e^{3 x + 2 y} \frac{d}{d x} (3 x + 2 y)

\frac{d}{d x} (3 x + 2 y) = 3 + 2 \frac{d y}{d x}

= e^{3 x + 2 y} (3 + 2 \frac{d y}{d x})

Beliebte Beispiele

derivative f(x)=(7x-8)^2

d er i v a t i v e f (x) = (7 x - 8)^{2}

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

integral of (2e^x+4^x)

\int (2 e^{x} + 4^{x}) d x

integral of e^{u^2}

\int e^{u^{2}} d u

integral of (x+2)/(sqrt(x^2+4))

\int \frac{x + 2}{x ^{2} + 4} d x