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Beliebt Rechnen >

derivative of (x^4+3x^2-5^4)

Lösung

\frac{d}{d x} ((x^{4} + 3 x^{2} - 5)^{4})

Lösung

4 (x^{4} + 3 x^{2} - 5)^{3} (4 x^{3} + 6 x)

Schritte zur Lösung

\frac{d}{d x} ((x^{4} + 3 x^{2} - 5)^{4})

Wende die Kettenregel an:

4 (x^{4} + 3 x^{2} - 5)^{3} \frac{d}{d x} (x^{4} + 3 x^{2} - 5)

= 4 (x^{4} + 3 x^{2} - 5)^{3} \frac{d}{d x} (x^{4} + 3 x^{2} - 5)

\frac{d}{d x} (x^{4} + 3 x^{2} - 5) = 4 x^{3} + 6 x

= 4 (x^{4} + 3 x^{2} - 5)^{3} (4 x^{3} + 6 x)

Graph

Beliebte Beispiele

derivative of 3xe^{5x}

\frac{d}{d x} (3 x e^{5 x})

derivative of 5^{-1/x}

\frac{d}{d x} (5^{- \frac{1}{x}})

derivative sqrt(3x+1)

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derivative of 6x^2+5x^3y^4-10y^5

\frac{d}{d x} (6 x^{2} + 5 x^{3} y^{4} - 10 y^{5})

integral of tan(3x)sin(3x)

\int tan (3 x) sin (3 x) d x