(d^3)/(dx^3)(x^4-8x^3)

Lösung

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

24 x - 48

Schritte zur Lösung

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

\frac{d}{d x} (x^{4} - 8 x^{3}) = 4 x^{3} - 24 x^{2}

= \frac{d ^{2}}{d x ^{2}} (4 x^{3} - 24 x^{2})

\frac{d}{d x} (4 x^{3} - 24 x^{2}) = 12 x^{2} - 48 x

= \frac{d}{d x} (12 x^{2} - 48 x)

\frac{d}{d x} (12 x^{2} - 48 x) = 24 x - 48

= 24 x - 48

\frac{d}{d x} (e^{c o s (x + 3)})

- 8 t^{2} y^{^{''}} - 4 t (t - 4) y^{^{'}} + 4 (t - 4) y = 0

a re a y^{2} = x, x - 2 y = 3

\frac{d}{d x} (3 x (x^{2} - x + 1) (5 x - 3))

\frac{d y}{d t} = - 2 y, y (0) = \frac{1}{10}