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Beliebt Rechnen >

derivative of tan^4(3x)

Lösung

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

Lösung

12 tan^{3} (3 x) sec^{2} (3 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (tan (3 x)) = sec^{2} (3 x) \cdot 3

= 4 (tan (3 x))^{3} sec^{2} (3 x) \cdot 3

Vereinfache

= 12 tan^{3} (3 x) sec^{2} (3 x)

Graph

Beliebte Beispiele

integral of y^3e^{-y}

\int y^{3} e^{- y} d y

(dy)/(dx)=e^{2x-1}y^2

\frac{d y}{d x} = e^{2 x - 1} y^{2}

integral of (sqrt(x^2+25))/(x^2)

\int \frac{x ^{2} + 25}{x ^{2}} d x

fläche x=y^2,x=2-y

a re a x = y^{2}, x = 2 - y

tangent f(x)=(-4x)/(x^2+1),(-1,2)

t an g e n t f (x) = \frac{- 4 x}{x ^{2} + 1}, (- 1, 2)