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Beliebt Rechnen >

derivative of sin(4x+sin^2(4x))

Lösung

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

Lösung

cos (4 x) \cdot 4 + 4 sin (8 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (sin (4 x)) = cos (4 x) \cdot 4

\frac{d}{d x} (sin^{2} (4 x)) = 4 sin (8 x)

= cos (4 x) \cdot 4 + 4 sin (8 x)

Graph

Beliebte Beispiele

y^{''}+3y^'+2y=e^{-t},y(0)=0,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

(d^2x)/(dt)+2(dx)/(dt)+x=1

\frac{d ^{2} x}{d t} + 2 \frac{d x}{d t} + x = 1

integral of sqrt(5+x^2)

\int 5 + x^{2} d x

fläche y=8x,y=4x^2

a re a y = 8 x, y = 4 x^{2}

(\partial)/(\partial y)(2e^xln(y))

\frac{\partial}{\partial y} (2 e^{x} ln (y))