derivative of tan^2(x^2-5x)

Lösung

\frac{d}{d x} (tan^{2} (x^{2} - 5 x))

2 tan (x^{2} - 5 x) sec^{2} (x^{2} - 5 x) (2 x - 5)

Schritte zur Lösung

\frac{d}{d x} (tan^{2} (x^{2} - 5 x))

Wende die Kettenregel an:

2 tan (x^{2} - 5 x) \frac{d}{d x} (tan (x^{2} - 5 x))

= 2 tan (x^{2} - 5 x) \frac{d}{d x} (tan (x^{2} - 5 x))

\frac{d}{d x} (tan (x^{2} - 5 x)) = sec^{2} (x^{2} - 5 x) (2 x - 5)

= 2 tan (x^{2} - 5 x) sec^{2} (x^{2} - 5 x) (2 x - 5)

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