derivative x^4+7e^x

Lösung

ableitung von

x^{4} + 7 e^{x}

4 x^{3} + 7 e^{x}

Schritte zur Lösung

\frac{d}{d x} (x^{4} + 7 e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (7 e^{x})

\frac{d}{d x} (x^{4}) = 4 x^{3}

\frac{d}{d x} (7 e^{x}) = 7 e^{x}

= 4 x^{3} + 7 e^{x}

t an g e n t y = e^{3 x}, at x = \frac{1}{3} ln (5)

\frac{\partial}{\partial x} (\frac{5 x}{2 y})

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