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Beliebt Rechnen >

derivative of 6tan^2(3x)

Lösung

\frac{d}{d x} (6 tan^{2} (3 x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (6 tan^{2} (3 x))

Entferne die Konstante:

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

= 6 \frac{d}{d x} (tan^{2} (3 x))

Wende die Kettenregel an:

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

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

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

= 6 \cdot 2 tan (3 x) sec^{2} (3 x) \cdot 3

Vereinfache

= 36 sec^{2} (3 x) tan (3 x)

Graph

Beliebte Beispiele

(dy)/(dx)= y/x+4x+9

\frac{d y}{d x} = \frac{y}{x} + 4 x + 9

(dy)/(dx)+3y=2xe^{-3x}

\frac{d y}{d x} + 3 y = 2 x e^{- 3 x}

sum from n=0 to infinity of 1/(1.02^n)

n = 0 \sum \infty \frac{1}{1.0 2 ^{n}}

x d x - y d y = 0

(\partial)/(\partial z)(e^y)

\frac{\partial}{\partial z} (e^{y})