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Beliebt Rechnen >

derivative of 5x^2+sin(xcos(x))

Lösung

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

Lösung

10 x + cos (2 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 10 x + cos (2 x)

Graph

Beliebte Beispiele

y^{^{'}} = y (x y^{5} + 2)

f (t) = t cos (t)

(\partial)/(\partial y)(sin(x))

\frac{\partial}{\partial y} (sin (x))

normal f(x)=-3x^3+4,\at x=-1

n or ma l f (x) = - 3 x^{3} + 4, at x = - 1

derivative of npix

\frac{d}{d x} (nπ x)