tentukan turunan fungsi dari f(x) = sin (2x-1) + cos (2x-1) / sin (2x-1) - cos (2x-1)

<p>f(x) = &nbsp;sin (2x+ 1) cos (2x)</p><p>_</p><p>u = sin (2x + 1) --&gt; u' = &nbsp;2cos (2x + 1)</p><p>v = cos (2x) --&gt; v' = - 2 sin (2x)</p><p>.</p><p>f = uv</p><p>f' = u' v + u v'</p><p>f'(x) = 2 cos (2x+ 1) . cos (2x) &nbsp;+ sin (2x + 1) &nbsp;( - 2 sin (2x)</p><p>f'(x) = 2 cos (2x+ 1) . cos (2x) &nbsp;- &nbsp;2 sin (2x + 1) &nbsp;sin (2x)</p><p>f'(x) = 2 { cos (2x +1) cos (2x) - sin (2x +1) &nbsp;sin 2x }</p><p>.</p><p>cos A cos B - sin A sin B = &nbsp;cos (A + B)</p><p>,</p><p>f'(x) = 2 { cos (2x +1) cos (2x) - sin (2x +1) &nbsp;sin 2x }</p><p>f'(x) = 2 { cos (2x + 1 + 2x)}</p><p>f'(x) = 2 cos (4x + 1)</p>