derivative of e^{5x^4}

Lösung

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

e^{5 x^{4}} \cdot 20 x^{3}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= e^{5 x^{4}} \cdot 20 x^{3}

\frac{d y}{d x} + \frac{y}{x} = 9 x + 10

x \to 4 lim (2 x - 5)

\int \frac{4}{x - 3} d x

x \to \infty + lim (\frac{1}{5 x})

t an g e n t f (x) = 3 x + 40, at x = 3