What is the derivative of 4tan^2(3x) ?

The derivative of 4tan^2(3x) is 24sec^2(3x)tan(3x)

What is the first derivative of 4tan^2(3x) ?

The first derivative of 4tan^2(3x) is 24sec^2(3x)tan(3x)

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derivative of

4 tan^{2} (3 x)

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

Solution steps

\frac{d}{d x} (4 tan^{2} (3 x))

Take the constant out:

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

= 4 \frac{d}{d x} (tan^{2} (3 x))

Apply the chain rule:

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

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

Simplify

= 24 sec^{2} (3 x) tan (3 x)

\int - ln (x) d x

\frac{\partial}{\partial y} (\frac{1}{x ^{2} + y ^{2}})

n \to \infty lim (an)

x \to 3 lim (\frac{7}{x - 3})

\int - \frac{2}{x} d x

What is the derivative of 4tan^2(3x) ?
The derivative of 4tan^2(3x) is 24sec^2(3x)tan(3x)
What is the first derivative of 4tan^2(3x) ?
The first derivative of 4tan^2(3x) is 24sec^2(3x)tan(3x)