Answers edited by Aniket Mahaseth

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• How do you differentiate #g(z) = z^3sin^2(2z)# using the product rule?
  
• How do you differentiate #f(x) = x^3/(xcotx+1)# using the quotient rule?
  
• What is the slope of #f(x)=xe^(x-x^2) # at #x=-1#?
  
• How do you find the integral of #cos^2(2x)dx#?
  
• What is the derivative of #y=x^(5x)#?
  
• What does #cos(arctan(pi/2))-sin(arc cot(pi/4)) # equal?