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Beliebt Rechnen >

derivative of 1+sin^2(x)

Lösung

\frac{d}{d x} (1 + sin^{2} (x))

Lösung

sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (1 + sin^{2} (x))

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 0

\frac{d}{d x} (sin^{2} (x)) = sin (2 x)

= 0 + sin (2 x)

Vereinfache

= sin (2 x)

Graph

Beliebte Beispiele

derivative (2t+4)i+sin(4t)j+2t^3k

d er i v a t i v e (2 t + 4) i + sin (4 t) j + 2 t^{3} k

limit as x approaches 0+of x^{3x}

x \to 0 + lim (x^{3 x})

derivative y= 2/(sqrt(x))

d er i v a t i v e y = \frac{2}{x}

derivative y=(13)/(ln(x))

d er i v a t i v e y = \frac{13}{ln ( x )}

integral of sin(t)cos^2(t)

\int sin (t) cos^{2} (t) d t