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Popular >

derivative of sqrt(tan(3x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

\frac{1}{2 tan ( 3 x )} \frac{d}{d x} (tan (3 x))

= \frac{1}{2 tan ( 3 x )} \frac{d}{d x} (tan (3 x))

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

= \frac{1}{2 tan ( 3 x )} sec^{2} (3 x) \cdot 3

Simplify

\frac{1}{2 tan ( 3 x )} sec^{2} (3 x) \cdot 3 : \frac{3 sec ^{2} ( 3 x )}{2 tan ( 3 x )}

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

Graph

Popular Examples

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x \to 0 lim (\frac{1 - e ^{x}}{x})

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f (x) = 1 - 3 x^{[2]}, at x = 0

integral of 3/y

\int \frac{3}{y} d y

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

Frequently Asked Questions (FAQ)

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