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Beliebt Rechnen >

derivative of-2sin(3x)

Lösung

\frac{d}{d x} (- 2 sin (3 x))

Lösung

- 6 cos (3 x)

Schritte zur Lösung

\frac{d}{d x} (- 2 sin (3 x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - 2 \frac{d}{d x} (sin (3 x))

Wende die Kettenregel an:

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

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

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

= - 2 cos (3 x) \cdot 3

Vereinfache

= - 6 cos (3 x)

Graph

Beliebte Beispiele

tangent f(x)= 5/x ,\at x=9

t an g e n t f (x) = \frac{5}{x}, at x = 9

derivative of (cos(x)/(x^8))

\frac{d}{d x} (\frac{cos ( x )}{x ^{8}})

derivative of 1/((2x+3^2))

\frac{d}{d x} (\frac{1}{( 2 x + 3 ) ^{2}})

integral of sin^2(x+2)

\int sin^{2} (x + 2) d x

derivative of (-2/(\sqrt[3]{x)})

\frac{d}{d x} (\frac{- 2}{3 x})