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Beliebt Rechnen >

derivative R(q)=(q^2+1)^4

Lösung

ableitung von

R (q) = (q^{2} + 1)^{4}

Lösung

8 q (q^{2} + 1)^{3}

Schritte zur Lösung

\frac{d}{d q} ((q^{2} + 1)^{4})

Wende die Kettenregel an:

4 (q^{2} + 1)^{3} \frac{d}{d q} (q^{2} + 1)

= 4 (q^{2} + 1)^{3} \frac{d}{d q} (q^{2} + 1)

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

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

Vereinfache

= 8 q (q^{2} + 1)^{3}

Graph

Beliebte Beispiele

limit as x approaches 3+of (4x)/(x-3)

x \to 3 + lim (\frac{4 x}{x - 3})

tangent y=8(x-1/x)^4,\at x=2

t an g e n t y = 8 (x - \frac{1}{x})^{4}, at x = 2

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(dy)/(dx)=((x^2y-y))/((y+1))

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