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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

(x+1)y^'+(x+2)y=8xe^{-x}

(x + 1) y^{^{'}} + (x + 2) y = 8 x e^{- x}

integral of 8x^3e^{x^4}

\int 8 x^{3} e^{x^{4}} d x

derivative 8sqrt(x)sin(x)

d er i v a t i v e 8 x sin (x)

fläche 1-x^2,13-7x

a re a 1 - x^{2}, 13 - 7 x

(\partial)/(\partial x)(e^{8x}cos(5y))

\frac{\partial}{\partial x} (e^{8 x} cos (5 y))