derivative (8x-x^2)^3

Lösung

ableitung von

(8 x - x^{2})^{3}

3 (8 x - x^{2})^{2} (8 - 2 x)

Schritte zur Lösung

\frac{d}{d x} ((8 x - x^{2})^{3})

Wende die Kettenregel an:

3 (8 x - x^{2})^{2} \frac{d}{d x} (8 x - x^{2})

= 3 (8 x - x^{2})^{2} \frac{d}{d x} (8 x - x^{2})

\frac{d}{d x} (8 x - x^{2}) = 8 - 2 x

= 3 (8 x - x^{2})^{2} (8 - 2 x)

e^{x} d x = 2 y d y

\frac{d}{d y} (x + 3 y^{\frac{1}{3}})

\frac{\partial}{\partial y} (2 x y^{4})

d er i v a t i v e f (x) = (x)^{(3)} e^{(3 x)}

x \to 0 + lim ((tan (x))^{x})