derivative e^{x^5}+log_{4}(pi)

Lösung

ableitung von

e^{x^{5}} + lo g_{4} (π)

5 e^{x^{5}} x^{4}

Schritte zur Lösung

\frac{d}{d x} (e^{x^{5}} + lo g_{4} (π))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{x^{5}}) + \frac{d}{d x} (lo g_{4} (π))

\frac{d}{d x} (e^{x^{5}}) = e^{x^{5}} \cdot 5 x^{4}

\frac{d}{d x} (lo g_{4} (π)) = 0

= e^{x^{5}} \cdot 5 x^{4} + 0

Vereinfache

= 5 e^{x^{5}} x^{4}

n \to \infty lim (\frac{a}{n})

x \to 5 - lim (\frac{∣ x - 5 ∣}{x - 5})

\frac{d}{d x} (\frac{x ^{2}}{7 x + 4})

\frac{\partial}{\partial y} (x^{2} \cdot y)

\frac{d}{d x} (\frac{4 x}{6 x - 1})