derivative of (x^2+6^9)

Lösung

\frac{d}{d x} ((x^{2} + 6)^{9})

18 x (x^{2} + 6)^{8}

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 6)^{9})

Wende die Kettenregel an:

9 (x^{2} + 6)^{8} \frac{d}{d x} (x^{2} + 6)

= 9 (x^{2} + 6)^{8} \frac{d}{d x} (x^{2} + 6)

\frac{d}{d x} (x^{2} + 6) = 2 x

= 9 (x^{2} + 6)^{8} \cdot 2 x

Vereinfache

= 18 x (x^{2} + 6)^{8}

\frac{d}{d x} (cosh (4 x))

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

x \to 1 + lim (x + 2)

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

\frac{d}{d x} (x \cdot e^{2 x})