(\partial)/(\partial x)(tan(6+2x^2y^4z^2))

Lösung

\frac{\partial}{\partial x} (tan (6 + 2 x^{2} y^{4} z^{2}))

sec^{2} (6 + 2 x^{2} y^{4} z^{2}) \cdot 4 y^{4} z^{2} x

Schritte zur Lösung

\frac{\partial}{\partial x} (tan (6 + 2 x^{2} y^{4} z^{2}))

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

sec^{2} (6 + 2 x^{2} y^{4} z^{2}) \frac{\partial}{\partial x} (6 + 2 x^{2} y^{4} z^{2})

= sec^{2} (6 + 2 x^{2} y^{4} z^{2}) \frac{\partial}{\partial x} (6 + 2 x^{2} y^{4} z^{2})

\frac{\partial}{\partial x} (6 + 2 x^{2} y^{4} z^{2}) = 4 y^{4} z^{2} x

= sec^{2} (6 + 2 x^{2} y^{4} z^{2}) \cdot 4 y^{4} z^{2} x

\int_{2}^{5} x d x

x \to 11 lim (x^{2})

\frac{d}{d t} (sec (t))

\int \frac{3 x}{5 + 6 x ^{2}} d x

\int \frac{e ^{x}}{1 + 4 e ^{2 x}} d x