derivative x^{8x}

Lösung

ableitung von

x^{8 x}

8 x^{8 x} (ln (x) + 1)

Schritte zur Lösung

\frac{d}{d x} (x^{8 x})

Wende Exponentenregel an:

a^{b} = e^{b l n (a)}

x^{8 x} = e^{8 x l n (x)}

= \frac{d}{d x} (e^{8 x l n (x)})

Wende die Kettenregel an:

e^{8 x l n (x)} \frac{d}{d x} (8 x ln (x))

= e^{8 x l n (x)} \frac{d}{d x} (8 x ln (x))

\frac{d}{d x} (8 x ln (x)) = 8 (ln (x) + 1)

= e^{8 x l n (x)} \cdot 8 (ln (x) + 1)

e^{8 x l n (x)} = x^{8 x}

= 8 x^{8 x} (ln (x) + 1)

\int_{- \infty}^{- 3} \frac{4}{x ^{5}} d x

\int + x^{9} x^{5} + 7 d x

d er i v a t i v e \frac{2.99 \cdot 1 0 ^{16}}{r ^{2}}

\frac{\partial}{\partial y} (x y^{2} e^{- x z})

\frac{\partial}{\partial y} (x^{6} - 8 x^{5} y)