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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

4 (x^{4} + 5 x^{2} - 5)^{3} (4 x^{3} + 10 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 4 (x^{4} + 5 x^{2} - 5)^{3} (4 x^{3} + 10 x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2+xln(xy-9))

\frac{\partial}{\partial x} (2 + x ln (x y - 9))

laplacetransform u^1

l a pl a ce t r an s f or m u^{1}

derivative f(x)= 3/8 x^4-2-(10)/x

d er i v a t i v e f (x) = \frac{3}{8} x^{4} - 2 - \frac{10}{x}

derivative f(x)=(3x^2-1)^2

d er i v a t i v e f (x) = (3 x^{2} - 1)^{2}

fläche 2sqrt(x),y= 1/3 x

a re a 2 x, y = \frac{1}{3} x