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Beliebt Rechnen >

derivative of 2sin^2(x+5sin(x)-3)

Lösung

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

Lösung

2 sin (2 x) + 5 cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (5 sin (x)) = 5 cos (x)

\frac{d}{d x} (3) = 0

= 2 sin (2 x) + 5 cos (x) - 0

Vereinfache

= 2 sin (2 x) + 5 cos (x)

Graph

Beliebte Beispiele

derivative of x/(e^{2x})

\frac{d}{d x} (\frac{x}{e ^{2 x}})

y^{^{'}} + 8 x^{2} y = x^{2}

derivative of (x+3^{2/3})

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

steigung (0,0),(4,2)

s l o p e (0, 0), (4, 2)

integral of (cos(t))/(5+sin(t))

\int \frac{cos ( t )}{5 + sin ( t )} d t