derivative f(x)=x^4-12x^3+3

Lösung

ableitung von

f (x) = x^{4} - 12 x^{3} + 3

4 x^{3} - 36 x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{4} - 12 x^{3} + 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (12 x^{3}) + \frac{d}{d x} (3)

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

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

\frac{d}{d x} (3) = 0

= 4 x^{3} - 36 x^{2} + 0

Vereinfache

= 4 x^{3} - 36 x^{2}

\int 8 sin^{3} (x) cos (x) d x

\frac{\partial}{\partial x} (x y ln (x y))

\frac{x d y}{d x} = - y + 2 x^{2} y, y (1) = 1

y \to 2 lim (4 y^{2} - 2 y)

\int_{0}^{- 0.3} 300 x d x