Answers edited by Matt B.

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• How do you use the definition of a derivative to find the derivative of #f(x)=(x+1)/(x-1)#?
  
• What is the derivative of #4^x#?
  
• How do you verify whether rolle's theorem can be applied to the function #f(x)=absx# in [-1,1]?
  
• Question #19e39
  
• At the instant the traffic light turns green, an automobile starts with a constant acceleration a of #2.30 m/s^2#. At the same instant a truck, traveling with a constant speed of #8.70 m/s#, overtakes and passes the automobile?
  
• How do you use limits to evaluate #int 8xdx# from [0,2]?
  
• Question #7f6d8
  
• What is the derivative of #arcsin(x^2/4)#?
  
• How do you find the x coordinates of all points of inflection, final all discontinuities, and find the open intervals of concavity for #y=sinx+x# for #[-pi,5pi]#?
  
• Question #9130a
  
• Question #1b9b0
  
• Let #f(x)=x^2-12# and #g(x)=15-x#, how do you find #(f/g)(5)#?
  
• Why is it important to understand the structure of other planets?
  
• How do you find the derivative using limits of #f(x)=9-1/2x#?
  
• How do you find the limit of #(1/x-1/2)/(x-2)# as #x->2#?
  
• How do you integrate #int sin^5(2x)cos2xdx#?
  
• What is #\int 2x + 4#?
  
• What is a parallax error?
  
• What is the equation of the line that is normal to #f(x)= x/sqrt( x^2-2) # at # x=2 #?
  
• How do you find the equation of a line tangent to the function #y=x^3-x# at (-1,0)?
  
• What is #lim_ (x->0) (xcosx)/(sin3x)# ?