derivative of tan(sqrt(1-x))

Lösung

\frac{d}{d x} (tan (1 - x))

- \frac{sec ^{2} ( 1 - x )}{2 1 - x}

Schritte zur Lösung

\frac{d}{d x} (tan (1 - x))

Wende die Kettenregel an:

sec^{2} (1 - x) \frac{d}{d x} (1 - x)

= sec^{2} (1 - x) \frac{d}{d x} (1 - x)

\frac{d}{d x} (1 - x) = - \frac{1}{2 1 - x}

= sec^{2} (1 - x) (- \frac{1}{2 1 - x})

Vereinfache

sec^{2} (1 - x) (- \frac{1}{2 1 - x}) : - \frac{sec ^{2} ( 1 - x )}{2 1 - x}

= - \frac{sec ^{2} ( 1 - x )}{2 1 - x}

\frac{\partial}{\partial x} (x^{2} + 10 x y + y^{2})

x \to 0 + lim (x \cdot (e^{\frac{1}{x}} - 1))

\int (\frac{1}{x} + \frac{x x}{3}) d x

\frac{d}{d x} (arctan (x))

\frac{d}{d x} (lo g_{5} (2 x^{2}))