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

The derivative of 3tan^2(2x) is 12sec^2(2x)tan(2x)

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

The first derivative of 3tan^2(2x) is 12sec^2(2x)tan(2x)

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derivative of

3 tan^{2} (2 x)

12 sec^{2} (2 x) tan (2 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= 12 sec^{2} (2 x) tan (2 x)

\int_{1}^{2} \frac{3}{x ^{3} + 4 x} d x

\frac{\partial}{\partial x} (x^{\frac{1}{3}})

n = 1 \sum \infty (- 1)^{n + 1} n

\frac{d}{d x} (x + 1 + 1)

f (x) = \frac{5 x}{x ^{2} + 1}, at x = 0

What is the derivative of 3tan^2(2x) ?
The derivative of 3tan^2(2x) is 12sec^2(2x)tan(2x)
What is the first derivative of 3tan^2(2x) ?
The first derivative of 3tan^2(2x) is 12sec^2(2x)tan(2x)