derivative (x^2-8x)^4

Lösung

ableitung von

(x^{2} - 8 x)^{4}

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

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - 8 x)^{4})

Wende die Kettenregel an:

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

= 4 (x^{2} - 8 x)^{3} \frac{d}{d x} (x^{2} - 8 x)

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

= 4 (x^{2} - 8 x)^{3} (2 x - 8)

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

a re a y = 2^{x}, y = 4^{x}, y = 4

\frac{\partial}{\partial x} (sin (5 x^{4} y - 3 x y^{4}))

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

3 y^{^{'}} - 2 y = e^{- \frac{π t}{2}}