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Beliebt Rechnen >

derivative of sqrt(10)x+sqrt(7x)

Lösung

\frac{d}{d x} (10 x + 7 x)

Lösung

10 + \frac{7}{2 x}

Schritte zur Lösung

\frac{d}{d x} (10 x + 7 x)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (10 x) + \frac{d}{d x} (7 x)

\frac{d}{d x} (10 x) = 10

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

= 10 + \frac{7}{2 x}

Graph

Beliebte Beispiele

derivative f(x)=(4x+1)^2

d er i v a t i v e f (x) = (4 x + 1)^{2}

derivative of 2x^4-5x^3+x^2

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

integral from-1 to 2 of 3x^2+4x

\int_{- 1}^{2} 3 x^{2} + 4 x d x

integral of-4x+12

\int - 4 x + 12 d x

y^{^{'}} = y^{2} x^{3}