Answers edited by Collin C.

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• How do you find the derivative of #y=cos(x)# from first principle?
  
• What is the binomial expansion of #(x + 2y)^7#?
  
• How do you find #dy/dx# for the curve #x=t*sin(t)#, #y=t^2+2# ?
  
• What is the equation of the tangent line of #f(x)=(x-3)(x-2)(lnx-x)# at #x=2#?
  
• What is the derivative of #y=sec^2(x) + tan^2(x)#?
  
• How do you use the Nth term test on the infinite series #sum_(n=2)^oon/ln(n)# ?
  
• How do you find the length of the polar curve #r=5^theta# ?
  
• How do I find the integral #int(x^2*sin(pix))dx# ?
  
• How do you find the limit #lim_(x->0^-)|x|/x# ?
  
• How do you use integration by parts to establish the reduction formula #int(ln(x))^n dx = x(ln(x))^n-nint(ln(x))^(n-1)dx# ?
  
• How do I work out #intcot(x)dx# by substitution?
  
• Using the limit definition, how do you find the derivative of #f(x) =sqrt (x+1) #?
  
• How do you find a one sided limit for an absolute value function?
  
• What is the derivative of #sqrt x^2#?
  
• How do I find the integral #int(x-9)/((x+5)(x-2))dx# ?