derivative f(x)=e^{ex}

Lösung

ableitung von

f (x) = e^{e x}

e^{e x + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{e x} e

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

e^{e x} e = e^{e x + 1}

= e^{e x + 1}

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = - 4, y^{^{'}} (0) = 5

\frac{\partial}{\partial x} (33 - 3 x^{2} - 3 y^{2})

t an g e n t f (x) = \frac{x}{x ^{2} - 1}, at x = 2

d er i v a t i v e (5 x^{6} + 2 x^{3})^{4}

d er i v a t i v e f (x) = (5 + x) (12 - x) - 2.2 x