(\partial)/(\partial x)(x^{y^2})

Lösung

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

y^{2} x^{y^{2} - 1}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= y^{2} x^{y^{2} - 1}

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

n = 1 \sum \infty \frac{1}{( 2 n + 1 ) ^{2}}

n = 1 \sum \infty \frac{4 n + 1}{4 ^{n + 1}}

\frac{d}{d x} (e^{(- x^{2})})

\int sin^{3} (\frac{7}{3}) x d x