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Beliebt Rechnen >

derivative (x^2+7)^5

Lösung

ableitung von

(x^{2} + 7)^{5}

Lösung

10 x (x^{2} + 7)^{4}

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 7)^{5})

Wende die Kettenregel an:

5 (x^{2} + 7)^{4} \frac{d}{d x} (x^{2} + 7)

= 5 (x^{2} + 7)^{4} \frac{d}{d x} (x^{2} + 7)

\frac{d}{d x} (x^{2} + 7) = 2 x

= 5 (x^{2} + 7)^{4} \cdot 2 x

Vereinfache

= 10 x (x^{2} + 7)^{4}

Graph

Beliebte Beispiele

fläche x,x^3-x^2-x

a re a x, x^{3} - x^{2} - x

fläche 2sin(x),4cos(x),[0,0.6pi]

a re a 2 sin (x), 4 cos (x), [0, 0.6 π]

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

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

3y^'+sqrt(x)y=5sqrt(x)

3 y^{^{'}} + x y = 5 x

derivative of x^{x^5}

\frac{d}{d x} (x^{x^{5}})