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

The derivative of sqrt(sin(2x)) is 1/(2sqrt(sin(2x)))cos(2x)*2

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

The first derivative of sqrt(sin(2x)) is 1/(2sqrt(sin(2x)))cos(2x)*2

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derivative of

sin (2 x)

\frac{1}{2 sin ( 2 x )} cos (2 x) \cdot 2

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= \frac{1}{2 sin ( 2 x )} cos (2 x) \cdot 2

x \to 2 lim (\frac{1}{( x - 2 )})

\int \frac{2 x ^{3} + x ^{2} - 7 x + 7}{x ^{2} + x - 2} d x

\frac{\partial}{\partial y} (x y e^{4 y})

\int_{1}^{4} 1 + \frac{9}{4} x d x

\frac{d}{d x} (\frac{x}{1 - 2 x ^{2}})

What is the derivative of sqrt(sin(2x)) ?
The derivative of sqrt(sin(2x)) is 1/(2sqrt(sin(2x)))cos(2x)*2
What is the first derivative of sqrt(sin(2x)) ?
The first derivative of sqrt(sin(2x)) is 1/(2sqrt(sin(2x)))cos(2x)*2