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Beliebt Rechnen >

derivative of tan^3(4x)

Lösung

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

Lösung

12 tan^{2} (4 x) sec^{2} (4 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

3 (tan (4 x))^{2} \frac{d}{d x} (tan (4 x))

= 3 (tan (4 x))^{2} \frac{d}{d x} (tan (4 x))

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

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

Vereinfache

= 12 tan^{2} (4 x) sec^{2} (4 x)

Graph

Beliebte Beispiele

tangent f(x)=-2x^3,(2,-16)

t an g e n t f (x) = - 2 x^{3}, (2, - 16)

y^{''}+y^'-2y=4sin(2x)

y^{^{''}} + y^{^{'}} - 2 y = 4 sin (2 x)

integral of e^{-0.89x}

\int e^{- 0.89 x} d x

integral of (2y)/1 ^2

\int \frac{d ^{2} y}{1} d x^{2}

integral of-(6x)/5

\int - \frac{6 x}{5} d x