What is the derivative of ${(cos x)}^{2} - cos x$ $(cos x)^2 - cos x$ ?

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Answer 1 · 2016-06-13T18:46:24

$sin x - sin 2 x .$ $sinx-sin2x.$

$d/dx[ cos^2x-cosx]=d/dx((cosx)^2)-d/dxcosx =2*(cosx)*d/dxcosx-(-sinx)=2cosx(-sinx)+sinx=sinx-2cosxsinx=sinx-sin2x.$

What is the derivative of (cos x)^2 - cos x(cosx)2−cosx (cos x)^2 - cos x?