derivative \sqrt[N+1]{X}

Lösung

ableitung von

N + 1 X

\frac{X ^{- \frac{N}{N + 1}}}{N + 1}

Schritte zur Lösung

\frac{d}{d X} (N + 1 X)

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

= \frac{d}{d X} (X^{\frac{1}{N + 1}})

Wende die Potenzregel an:

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

= \frac{1}{N + 1} X^{\frac{1}{N + 1} - 1}

Vereinfache

\frac{1}{N + 1} X^{\frac{1}{N + 1} - 1} : \frac{X ^{- \frac{N}{N + 1}}}{N + 1}

= \frac{X ^{- \frac{N}{N + 1}}}{N + 1}

x \to 2 lim ((x^{2} + 8) (2 x - 4))

y \to - \infty lim (\frac{2 - y}{7 + 6 y ^{2}})

\frac{\partial}{\partial y} (26 - x^{2} - 4 y^{2})

\int_{0}^{2} (4 - x^{2})^{2} d x

(1 + x^{2}) \frac{d y}{d x} + 4 x y = (1 + x^{2})^{- 2}