derivative 10tan^2(6x)

Lösung

ableitung von

10 tan^{2} (6 x)

120 sec^{2} (6 x) tan (6 x)

Schritte zur Lösung

\frac{d}{d x} (10 tan^{2} (6 x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{d}{d x} (tan^{2} (6 x))

Wende die Kettenregel an:

2 tan (6 x) \frac{d}{d x} (tan (6 x))

= 2 tan (6 x) \frac{d}{d x} (tan (6 x))

\frac{d}{d x} (tan (6 x)) = sec^{2} (6 x) \cdot 6

= 10 \cdot 2 tan (6 x) sec^{2} (6 x) \cdot 6

Vereinfache

= 120 sec^{2} (6 x) tan (6 x)

\frac{d}{d x} (2 sin (2 x) - 4 sin^{9} (2 x))

\frac{d}{d x} (x^{\frac{2}{3}} (5 - x))

a re a 19 - x^{2}, - 2 x + 16, - 5, - 19

\frac{\partial}{\partial x} (y \cdot ∣ x ∣)

(x^{2} + 1) y^{^{'}} + 9 x (y - 1) = 0, y (0) = 2