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Beliebt Rechnen >

derivative f(x)=3sin(x)+3cos(x)

Lösung

ableitung von

f (x) = 3 sin (x) + 3 cos (x)

Lösung

3 cos (x) - 3 sin (x)

Schritte zur Lösung

\frac{d}{d x} (3 sin (x) + 3 cos (x))

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 cos (x) - 3 sin (x)

Graph

Beliebte Beispiele

steigung (-4,8),(-3,8)

s l o p e (- 4, 8), (- 3, 8)

derivative sin(1/(x^2))

d er i v a t i v e sin (\frac{1}{x ^{2}})

f^{''}(x)=9x^3+4x^2+7x

f^{^{''}} (x) = 9 x^{3} + 4 x^{2} + 7 x

limit as x approaches 0 of |x-2|+3

x \to 0 lim (∣ x - 2 ∣ + 3)

(\partial)/(\partial y)(sin(y)cos(y))

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