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

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

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

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

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

4 sec^{2} (2 x)

Solution steps

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

Take the constant out:

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

= 2 \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

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

Simplify

= 4 sec^{2} (2 x)

\frac{d}{d t} (cos^{3} (t))

\frac{d}{d x} ((6 x - 1) (3 x - 5)^{- 1})

\frac{d}{d t} (a cos (3 t))

\frac{\partial}{\partial x} (e^{3 x^{2}} + 4 x y + 5 y^{2})

f (t) = t e^{t}

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