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Beliebt Rechnen >

derivative tan^4(x^3)

Lösung

ableitung von

tan^{4} (x^{3})

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

fläche f(x)=x^2,x=5

a re a f (x) = x^{2}, x = 5

f(x)=(sin(x))/(1+2cos(x))

f (x) = \frac{sin ( x )}{1 + 2 cos ( x )}

y^{^{'}} = y - 2

(\partial)/(\partial x)(xln(z^7+x^3))

\frac{\partial}{\partial x} (x ln (z^{7} + x^{3}))

derivative y= 1/(2sqrt(x-2))

d er i v a t i v e y = \frac{1}{2 x - 2}