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

The derivative of sqrt(tan(2x)) is sec^2(2x)sqrt(cot(2x))

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

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

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

sec^{2} (2 x) cot (2 x)

Solution steps

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

Apply the chain rule:

\frac{1}{2 tan ( 2 x )} \frac{d}{d x} (tan (2 x))

= \frac{1}{2 tan ( 2 x )} \frac{d}{d x} (tan (2 x))

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

= \frac{1}{2 tan ( 2 x )} sec^{2} (2 x) \cdot 2

Simplify

\frac{1}{2 tan ( 2 x )} sec^{2} (2 x) \cdot 2 : sec^{2} (2 x) cot (2 x)

= sec^{2} (2 x) cot (2 x)

\frac{d}{d x} (\frac{cot ( x )}{sin ( x )})

\frac{d}{d x} (x^{3} + x^{2} - x)

x \to - 2 lim (\frac{- 9}{x ^{2}})

\frac{d}{d x} (8 x + 7)

f (x) = x - 1

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