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Beliebt Rechnen >

derivative y=x^4+5x^2-x

Lösung

ableitung von

y = x^{4} + 5 x^{2} - x

Lösung

4 x^{3} + 10 x - 1

Schritte zur Lösung

\frac{d}{d x} (x^{4} + 5 x^{2} - x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (5 x^{2}) - \frac{d x}{d x}

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

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d x}{d x} = 1

= 4 x^{3} + 10 x - 1

Graph

Beliebte Beispiele

limit as x approaches 3-of ln|x^2-9|

x \to 3 - lim (ln x^{2} - 9)

derivative ln|ln(10x)|

d er i v a t i v e ln ∣ ln (10 x) ∣

integral of 1/(x*ln(x^9))

\int \frac{1}{x \cdot ln ( x ^{9} )} d x

derivative of (14x-x^2^3)

\frac{d}{d x} ((14 x - x^{2})^{3})

tangent f(x)=8x^2+8x-5,\at x=-1/2

t an g e n t f (x) = 8 x^{2} + 8 x - 5, at x = - \frac{1}{2}