Diketahui y = (sin 2x)^2. supaya dy/dx = 2, maka nilai x = ... pakai caranya ya!!!

[tex]
\frac{d}{dx}\left(\sin{2x}\right)^2=2\\
\Leftrightarrow 2\sin{2x}\cdot\cos{2x}\cdot2=2\\
\Leftrightarrow 4\sin{2x}\cos{2x}=2\\
\Leftrightarrow 2\sin{2x}\xos{2x}=1\\
\Leftrightarrow \sin{4x}=1\\
\Leftrightarrow \sin{4x}=\sin{90\degree}\\
\Rightarrow 4x=90\degree+k\cdot 360\degree\\
\Leftrightarrow x=22,5\degree+k\cdot 90\degree\\
\Leftrightarrow x=\ldots, -67.5\degree,22.5\degree,112.5\degree,\ldots[/tex]