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

The derivative of 3tan(2x) is 6sec^2(2x)

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

The first derivative of 3tan(2x) is 6sec^2(2x)

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

6 sec^{2} (2 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

sec^{2} (2 x) \frac{d}{d x} (2 x)

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

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

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

Simplify

= 6 sec^{2} (2 x)

\int sin^{5} (x) cos^{6} (x) d x

\frac{d}{d x} (x^{3} - 12 x + 3)

\frac{d y}{d t} = \frac{1}{t y + t + y + 1}

\int_{0}^{1} \frac{2 x}{( x ^{2} + 4 ) ^{3}} d x

What is the derivative of 3tan(2x) ?
The derivative of 3tan(2x) is 6sec^2(2x)
What is the first derivative of 3tan(2x) ?
The first derivative of 3tan(2x) is 6sec^2(2x)