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calculus

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if y=cosx.sinx find dy/dx

  • calculus - ,

    just use the product rule
    If y = fg, then
    y' = f'g + fg'

    So,

    dy.dx = -sinx.sinx + cosx.cosx
    = cos^2x - sin^2x
    = cos2x

    Or, you could have noticed that
    y = 1/2 sin2x, so
    y' = cos2x

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