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Beliebt Rechnen >

derivative of 1/3 x^3+1

Lösung

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

Lösung

x^{2}

Schritte zur Lösung

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

Vereinfache

\frac{1}{3} x^{3} + 1 : \frac{x ^{3}}{3} + 1

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

= x^{2} + 0

Vereinfache

= x^{2}

Graph

Beliebte Beispiele

(dy)/(dx)=9x^2y^2

\frac{d y}{d x} = 9 x^{2} y^{2}

derivative of sin(x+10tan(x))

\frac{d}{d x} (sin (x) + 10 tan (x))

y^'+0.003y-0.105=0

y^{^{'}} + 0.003 y - 0.105 = 0

(\partial)/(\partial z)(yzln(xy))

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

tangent f(x)=7+3x+4xe^x,\at x=0

t an g e n t f (x) = 7 + 3 x + 4 x e^{x}, at x = 0