Answers edited by Jothi S.

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• How do you differentiate #g(x) = (x^2+1) (x^2-3x)# using the product rule?
  
• What are the local extrema, if any, of #f (x) = x^3 - 6x^2 - 15x + 11 #?
  
• How do you solve #x^2>=36# using a sign chart?
  
• How do you evaluate #sin ((7pi)/12)#?
  
• How do you solve #3cscx+5=0#?
  
• How do you solve the following equation # 2 cos x - 1=0# in the interval [0, 2pi]?
  
• How do you find the critical numbers for #cos (x/(x^2+1))# to determine the maximum and minimum?
  
• Show that integration of cos^4 x sin² x dx = 1/16 [ x - (sin4x)/4 + (sin^3 2x)/3 ] +c ?