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Beliebt Rechnen >

derivative of e^{(x+y}-1)

Lösung

\frac{d}{d x} (e^{(x + y)} - 1)

Lösung

e^{x + y} (\frac{d y}{d x} + 1)

Schritte zur Lösung

\frac{d}{d x} (e^{(x + y)} - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{x + y}) - \frac{d}{d x} (1)

\frac{d}{d x} (e^{x + y}) = e^{x + y} (1 + \frac{d y}{d x})

\frac{d}{d x} (1) = 0

= e^{x + y} (1 + \frac{d y}{d x}) - 0

Vereinfache

= e^{x + y} (\frac{d y}{d x} + 1)

Beliebte Beispiele

tangent f(x)=(1+5x)^9,(0,1)

t an g e n t f (x) = (1 + 5 x)^{9}, (0, 1)

taylor e^{-x},1

t a y l or e^{- x}, 1

(\partial)/(\partial x)((cos(x))^2)

\frac{\partial}{\partial x} ((cos (x))^{2})

tangent-1/((x-6)^2)

t an g e n t - \frac{1}{( x - 6 ) ^{2}}

integral of csc(4x)

\int csc (4 x) d x