Calculus (derivatives)

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Find the derivative of
cos^2(4x)

  • Calculus (derivatives) -

    Use the chain rule:
    d(f(u(x))/dx=df/du.du/dx
    d(cos²(4x))/dx
    =2cos(4x)d(cos(4x))/dx
    =2cos(4x)(-sin(4x))d(4x)/dx
    =2cos(4x)(-sin(4x))(4)
    =-8sin(4x)cos(4x)
    =-4sin(8x)

    The last simplification may not be required or recognized by a computerized answer.

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