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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

3y^'+sqrt(x)y=5sqrt(x)

3 y^{^{'}} + x y = 5 x

derivative of x^{x^5}

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

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\int (- 3 e^{x} + \frac{4}{x}) d x

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\int_{7}^{8} e^{7 - x} d x

derivative of sin(2)

\frac{d}{d x} (sin (2))