derivative of 4x^5-5x^4

Lösung

\frac{d}{d x} (4 x^{5} - 5 x^{4})

20 x^{4} - 20 x^{3}

Schritte zur Lösung

\frac{d}{d x} (4 x^{5} - 5 x^{4})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (4 x^{5}) - \frac{d}{d x} (5 x^{4})

\frac{d}{d x} (4 x^{5}) = 20 x^{4}

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= 20 x^{4} - 20 x^{3}

t an g e n t x^{3} + y^{3} - 6 x y = 0, (\frac{4}{3}, \frac{8}{3})

t an g e n t f (x) = \frac{x ^{2} - 1}{x ^{2} + 1}, at x = 0

\frac{\partial}{\partial x} (- 4 cos (2 x))

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

\frac{d y}{d x} + x y^{3} + \frac{y}{x} = 0