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Beliebt Rechnen >

derivative of (x^3+1^5)

Lösung

\frac{d}{d x} ((x^{3} + 1)^{5})

Lösung

15 x^{2} (x^{3} + 1)^{4}

Schritte zur Lösung

\frac{d}{d x} ((x^{3} + 1)^{5})

Wende die Kettenregel an:

5 (x^{3} + 1)^{4} \frac{d}{d x} (x^{3} + 1)

= 5 (x^{3} + 1)^{4} \frac{d}{d x} (x^{3} + 1)

\frac{d}{d x} (x^{3} + 1) = 3 x^{2}

= 5 (x^{3} + 1)^{4} \cdot 3 x^{2}

Vereinfache

= 15 x^{2} (x^{3} + 1)^{4}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(e^{-1/x})

\frac{\partial}{\partial x} (e^{- \frac{1}{x}})

-3x^2y+y^'=-9x^2

- 3 x^{2} y + y^{^{'}} = - 9 x^{2}

integral from-8 to 0 of 2+sqrt(64-x^2)

\int_{- 8}^{0} 2 + 64 - x^{2} d x

tangent y= 2/(x-2),(4,1)

t an g e n t y = \frac{2}{x - 2}, (4, 1)

\frac{d}{d t} (t^{2} + t)