Answers edited by Aniket Mahaseth

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• What does `cos(arctan(pi/2))-sin(arc cot(pi/4))` equal?
  
• What is the derivative of `y=x^(5x)`?
  
• 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`?