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Beliebt Rechnen >

derivative of x^4+8x

Lösung

\frac{d}{d x} (x^{4} + 8 x)

Lösung

4 x^{3} + 8

Schritte zur Lösung

\frac{d}{d x} (x^{4} + 8 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (8 x)

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

\frac{d}{d x} (8 x) = 8

= 4 x^{3} + 8

Graph

Beliebte Beispiele

derivative f(x)=-4/x

d er i v a t i v e f (x) = - \frac{4}{x}

tangent x^3,\at x=1

t an g e n t x^{3}, at x = 1

derivative y=(x^6-10)x

d er i v a t i v e y = (x^{6} - 10) x

(dy)/(dt)=0.0572(400-y),y(0)=32

\frac{d y}{d t} = 0.0572 (400 - y), y (0) = 32

y^'+(1-2x)/(x^2)y-1=0

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