derivative of (5x^4-6x^3+x^5)

Lösung

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

5 (5 x^{4} - 6 x^{3} + x)^{4} (20 x^{3} - 18 x^{2} + 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (5 x^{4} - 6 x^{3} + x) = 20 x^{3} - 18 x^{2} + 1

= 5 (5 x^{4} - 6 x^{3} + x)^{4} (20 x^{3} - 18 x^{2} + 1)

\int_{0}^{2} \frac{4}{x ^{2}} d x

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\frac{\partial}{\partial x} (x^{2 + 2 y^{2} + 3 z^{2}})

\int \frac{x + 4}{x ^{3} + x ^{2} - 2} d x

\frac{d}{d y} (x^{y^{z}})