(\partial)/(\partial x)(tan(x^3+y^2))

Lösung

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

sec^{2} (x^{3} + y^{2}) \cdot 3 x^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

= sec^{2} (x^{3} + y^{2}) \frac{\partial}{\partial x} (x^{3} + y^{2})

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

= sec^{2} (x^{3} + y^{2}) \cdot 3 x^{2}

x \to 3 + lim (\frac{x + 3}{x - 3})

\frac{\partial}{\partial x} (\frac{x}{x ^{6} - y ^{7}})

n = 4 \sum \infty (x + 1)^{n}

d er i v a t i v e f (x) = x^{- 8}

y^{^{'}} = - 2 y + t, y (0) = - 5