derivative of 4x^3+2+1/x

Lösung

\frac{d}{d x} (4 x^{3} + 2 + \frac{1}{x})

12 x^{2} - \frac{1}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} + 2 + \frac{1}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (2) + \frac{d}{d x} (\frac{1}{x})

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

\frac{d}{d x} (2) = 0

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

= 12 x^{2} + 0 - \frac{1}{x ^{2}}

Vereinfache

= 12 x^{2} - \frac{1}{x ^{2}}

\frac{\partial}{\partial x} (x sin (2 x))

\frac{\partial}{\partial x} (x e^{\frac{x}{y}})

s l o p e (6, - 12), (10, - 8)

\int \frac{( ( ln ( x ) ) ^{3} )}{x} d x

d er i v a t i v e f (x) = 2 x^{\frac{1}{2}}