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Beliebt Rechnen >

derivative of e^{yx}

Lösung

\frac{d}{d x} (e^{y x})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (e^{y x})

Wende die Kettenregel an:

e^{y x} \frac{d}{d x} (y x)

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

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

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

Beliebte Beispiele

tangent f(x)= 3/x ,(9, 1/3)

t an g e n t f (x) = \frac{3}{x}, (9, \frac{1}{3})

integral of (8x^3(2x^4+4)^4)

\int (8 x^{3} (2 x^{4} + 4)^{4}) d x

derivative of (x^2/(9+8x))

\frac{d}{d x} (\frac{x ^{2}}{9 + 8 x})

limit as x approaches 0 of x^4sin(1/x)

x \to 0 lim (x^{4} sin (\frac{1}{x}))

inverselaplace (s+2)/(s+3)

in v erse l a pl a ce \frac{s + 2}{s + 3}