derivative of e^{{g}(x(x^3)-2})

Lösung

\frac{d}{d x} (e^{g (x) (x^{3}) - 2})

e^{g (x) x^{3} - 2} (x^{3} \frac{d}{d x} (g (x)) + 3 x^{2} g (x))

Schritte zur Lösung

\frac{d}{d x} (e^{g (x) (x^{3}) - 2})

Wende die Kettenregel an:

e^{g (x) x^{3} - 2} \frac{d}{d x} (g (x) x^{3} - 2)

= e^{g (x) x^{3} - 2} \frac{d}{d x} (g (x) x^{3} - 2)

\frac{d}{d x} (g (x) x^{3} - 2) = x^{3} \frac{d}{d x} (g (x)) + 3 x^{2} g (x)

= e^{g (x) x^{3} - 2} (x^{3} \frac{d}{d x} (g (x)) + 3 x^{2} g (x))

y^{^{''}} + 4 y^{^{'}} + 6 y = 0, y (0) = - 4, y^{^{'}} (0) = - 1

in v erse l a pl a ce \frac{x + 1}{x ^{2} - 4 x}

\int csc^{2} (x) + 7 d x

x \to 6 lim (x^{2} - 7 x + 6)

\frac{\partial}{\partial x} (5 y ln (x))