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Beliebt Rechnen >

derivative of 3tan(2x+1+sqrt(x))

Lösung

\frac{d}{d x} (3 tan (2 x + 1) + x)

Lösung

6 sec^{2} (2 x + 1) + \frac{1}{2 x}

Schritte zur Lösung

\frac{d}{d x} (3 tan (2 x + 1) + x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 tan (2 x + 1)) + \frac{d}{d x} (x)

\frac{d}{d x} (3 tan (2 x + 1)) = 6 sec^{2} (2 x + 1)

\frac{d}{d x} (x) = \frac{1}{2 x}

= 6 sec^{2} (2 x + 1) + \frac{1}{2 x}

Graph

Beliebte Beispiele

limit as x approaches-infinity of e^{5x}

x \to - \infty lim (e^{5 x})

integral of (x+1)/(x^2+9)

\int \frac{x + 1}{x ^{2} + 9} d x

derivative of cot(xtan(x))

\frac{d}{d x} (cot (x) tan (x))

limit as x approaches 0+of |x|

x \to 0 + lim (∣ x ∣)

derivative f(t)=-3t^2+2t-4

d er i v a t i v e f (t) = - 3 t^{2} + 2 t - 4