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Beliebt Rechnen >

derivative of sin(3x+cos(4x))

Lösung

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

Lösung

cos (3 x) \cdot 3 - sin (4 x) \cdot 4

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= cos (3 x) \cdot 3 - sin (4 x) \cdot 4

Graph

Beliebte Beispiele

d/(dt)({r}(t)cos(t))

\frac{d}{d t} (r (t) cos (t))

integral of 4/x-(16)/(x^2)

\int \frac{4}{x} - \frac{16}{x ^{2}} d x

derivative f(x)=2^3e^2

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

limit as h approaches+0 of-2x-h

h \to + 0 lim (- 2 x - h)

integral of ((x+1)/(sqrt(x^2+2x)))

\int (\frac{x + 1}{x ^{2} + 2 x}) d x