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Beliebt Rechnen >

derivative of sin(x+sqrt(x)+5)

Lösung

\frac{d}{d x} (sin (x + x) + 5)

Lösung

cos (x + x) (\frac{1}{2 x} + 1)

Schritte zur Lösung

\frac{d}{d x} (sin (x + x) + 5)

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (5) = 0

= cos (x + x) (1 + \frac{1}{2 x}) + 0

Vereinfache

= cos (x + x) (\frac{1}{2 x} + 1)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(6+xln(xy-9))

\frac{\partial}{\partial x} (6 + x ln (x y - 9))

derivative f(x)=x^2-3x+2

d er i v a t i v e f (x) = x^{2} - 3 x + 2

inverselaplace (s+1)/((s-1)*(s-2))

in v erse l a pl a ce \frac{s + 1}{( s - 1 ) \cdot ( s - 2 )}

tangent f(x)= x/(x-1),\at x=2

t an g e n t f (x) = \frac{x}{x - 1}, at x = 2

derivative of (x+1^5)

\frac{d}{d x} ((x + 1)^{5})