What is the solution for -derivative of y=sqrt(cos(2x)) ?

The solution for -derivative of y=sqrt(cos(2x)) is y=-\E(2\vert (2x)/2)+c_{1}

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Find the Derivative - d/dx y = square root of cos(2x)

- \frac{d}{d x} y = cos (2 x)

y = - E (2∣ \frac{2 x}{2}) + c_{1}

Solution steps

- \frac{d y}{d x} = cos (2 x)

Isolate

y^{'} (x) : y^{'} (x) = - cos (2 x)

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int - cos (2 x) d x

\int - cos (2 x) d x = - E (2∣ \frac{2 x}{2}) + c_{1}

y = - E (2∣ \frac{2 x}{2}) + c_{1}

y = \frac{1}{2 x - 4}

\frac{1}{( 1 - sin ( x ) ) , x}

- \frac{d}{d x} y = 8^{x}

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

\frac{( cos ( 2 x ) )}{2}

What is the solution for -derivative of y=sqrt(cos(2x)) ?
The solution for -derivative of y=sqrt(cos(2x)) is y=-\E(2\vert (2x)/2)+c_{1}