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Beliebt Rechnen >

derivative of 3sin^4(x)

Lösung

\frac{d}{d x} (3 sin^{4} (x))

Lösung

12 sin^{3} (x) cos (x)

Schritte zur Lösung

\frac{d}{d x} (3 sin^{4} (x))

Entferne die Konstante:

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

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

Wende die Kettenregel an:

4 (sin (x))^{3} \frac{d}{d x} (sin (x))

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

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

= 3 \cdot 4 (sin (x))^{3} cos (x)

Vereinfache

= 12 sin^{3} (x) cos (x)

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+ax=0

\frac{d ^{2} x}{d t ^{2}} + a x = 0

derivative of 1-2x+3x^2-4x^3

\frac{d}{d x} (1 - 2 x + 3 x^{2} - 4 x^{3})

y^{''}-9y^'=81t,y(0)=9,y^'(0)=0

y^{^{''}} - 9 y^{^{'}} = 81 t, y (0) = 9, y^{^{'}} (0) = 0

integral of (-3)/(7e^{7x)}

\int \frac{- 3}{7 e ^{7 x}} d x

derivative of 2/(e^x-e^{-x})

\frac{d}{d x} (\frac{2}{e ^{x} - e ^{- x}})