(\partial)/(\partial x)(tan(8+2x^2y^4z^2))

Lösung

\frac{\partial}{\partial x} (tan (8 + 2 x^{2} y^{4} z^{2}))

sec^{2} (8 + 2 x^{2} y^{4} z^{2}) \cdot 4 y^{4} z^{2} x

Schritte zur Lösung

\frac{\partial}{\partial x} (tan (8 + 2 x^{2} y^{4} z^{2}))

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

sec^{2} (8 + 2 x^{2} y^{4} z^{2}) \frac{\partial}{\partial x} (8 + 2 x^{2} y^{4} z^{2})

= sec^{2} (8 + 2 x^{2} y^{4} z^{2}) \frac{\partial}{\partial x} (8 + 2 x^{2} y^{4} z^{2})

\frac{\partial}{\partial x} (8 + 2 x^{2} y^{4} z^{2}) = 4 y^{4} z^{2} x

= sec^{2} (8 + 2 x^{2} y^{4} z^{2}) \cdot 4 y^{4} z^{2} x

a re a 4 cos (3 x), 4 sin (6 x), 0, \frac{π}{6}

\int_{0.1}^{0.2} 300 x d x

\int cos (x) d x

f (x) = x sin (x)

x \to - 3 lim (g (x) (f (x)))