Homework Help Forum: Calculus (derivatives)

Posted by Amanda on Tuesday, November 3, 2009 at 5:41pm.

Find the derivative of cos^2(4x)

• Calculus (derivatives) - MathMate, Tuesday, November 3, 2009 at 6:21pm

  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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