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Beliebt Rechnen >

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

Lösung

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

Lösung

4 sin^{3} (x) cos (x) + cos (x^{4}) \cdot 4 x^{3}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} ((sin (x))^{4}) = 4 sin^{3} (x) cos (x)

\frac{d}{d x} (sin (x^{4})) = cos (x^{4}) \cdot 4 x^{3}

= 4 sin^{3} (x) cos (x) + cos (x^{4}) \cdot 4 x^{3}

Graph

Beliebte Beispiele

inverselaplace 1/(4s+2)

in v erse l a pl a ce \frac{1}{4 s + 2}

\frac{d}{d θ} (2 θ)

derivative of x^2tan(xy)

\frac{d}{d x} (x^{2} tan (x y))

derivative of (3x+1/(7x+5))

\frac{d}{d x} (\frac{3 x + 1}{7 x + 5})

derivative of (x^x/(sin(x)))

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