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Beliebt Rechnen >

derivative (x^2+4*x+2)^9

Lösung

ableitung von

(x^{2} + 4 \cdot x + 2)^{9}

Lösung

9 (x^{2} + 4 x + 2)^{8} (2 x + 4)

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 4 x + 2)^{9})

Wende die Kettenregel an:

9 (x^{2} + 4 x + 2)^{8} \frac{d}{d x} (x^{2} + 4 x + 2)

= 9 (x^{2} + 4 x + 2)^{8} \frac{d}{d x} (x^{2} + 4 x + 2)

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

= 9 (x^{2} + 4 x + 2)^{8} (2 x + 4)

Graph

Beliebte Beispiele

derivative f(x)= x/(x^2+196)

d er i v a t i v e f (x) = \frac{x}{x ^{2} + 196}

derivative f(x)=x^2+x+1

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

limit as x approaches 1 of 3/(x^3-1)

x \to 1 lim (\frac{3}{x ^{3} - 1})

(\partial)/(\partial x)(2(x-a))

\frac{\partial}{\partial x} (2 (x - a))

y^{^{'}} + 7 y = 4 t