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Beliebt Rechnen >

derivative of tan(x^2-4x)

Lösung

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

Lösung

sec^{2} (x^{2} - 4 x) (2 x - 4)

Schritte zur Lösung

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

Wende die Kettenregel an:

sec^{2} (x^{2} - 4 x) \frac{d}{d x} (x^{2} - 4 x)

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

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

= sec^{2} (x^{2} - 4 x) (2 x - 4)

Graph

Beliebte Beispiele

limit as x approaches-infinity of x^3-5x^2

x \to - \infty lim (x^{3} - 5 x^{2})

integral of x^2*sqrt(x-5)

\int x^{2} \cdot x - 5 d x

derivative y=x^2(x^3-1)^5

d er i v a t i v e y = x^{2} (x^{3} - 1)^{5}

normal y=sqrt(2x+1),\at x=4

n or ma l y = 2 x + 1, at x = 4

f^'(x)=x^4-3x^3-6x^2+6x-1

f^{^{'}} (x) = x^{4} - 3 x^{3} - 6 x^{2} + 6 x - 1