d/(dy)(x^{(1+y)})

Lösung

\frac{d}{d y} (x^{(1 + y)})

x^{1 + y} ln (x)

Schritte zur Lösung

\frac{d}{d y} (x^{(1 + y)})

Behandle

x

als Konstante

Wende Exponentenregel an:

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

x^{1 + y} = e^{(1 + y) l n (x)}

= \frac{d}{d y} (e^{(1 + y) l n (x)})

Wende die Kettenregel an:

e^{(1 + y) l n (x)} \frac{d}{d y} ((1 + y) ln (x))

= e^{(1 + y) l n (x)} \frac{d}{d y} ((1 + y) ln (x))

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

= e^{(1 + y) l n (x)} ln (x)

e^{(1 + y) l n (x)} = x^{1 + y}

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

\frac{d}{d x} (\frac{d y}{d x}) + y = 0

x \to - 1.8 lim (- 3 x + 18.4)

y^{^{'}} = e^{t + y}

\frac{\partial}{\partial x} (- 3 cos (x))

in v erse l a pl a ce \frac{1}{s ( 12 s ^{2} + 10 s + 1 )}