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Beliebt Rechnen >

derivative of x^2+x^4

Lösung

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

Lösung

2 x + 4 x^{3}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x + 4 x^{3}

Graph

Beliebte Beispiele

f(x)= 1/(1-x^2)

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

derivative of e^{2x^2+3}

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

tangent f(x)=(1-x)(x^2-8)^2,\at x=3

t an g e n t f (x) = (1 - x) (x^{2} - 8)^{2}, at x = 3

derivative f(x)=7arcsin(x^4)

d er i v a t i v e f (x) = 7 arcsin (x^{4})

integral of (6x+7)/(x^2+4x+4)

\int \frac{6 x + 7}{x ^{2} + 4 x + 4} d x