Answers edited by Sasha P.

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• How do you find f'(x) using the definition of a derivative for #f(x)=5.5x^2 - x + 4.2 #?
  
• How do you use partial fraction decomposition to decompose the fraction to integrate #(x^3+x^2+x+2)/(x^4+x^2)#?
  
• Question #5d213
  
• How do you prove the identity #cos2x = (cotx - sin2x) / cotx#?
  
• How do you find sum of geometric series 2+6+18+...+1458?
  
• Question #d530f
  
• Question #495d2
  
• How do you differentiate #sin(arctan x)#?
  
• Question #9a058
  
• How can you find the taylor expansion of #f(x) =sinx# about x=0?
  
• How do you integrate #((3x^2)-25x+43)dx/((2x+1)((x-2)^2))#?
  
• How do you find the integral of #int sqrt(14x-x^2) dx#?
  
• How do you find the integral of #int 2secxtanx dx#?
  
• How do you find two solutions (in degree and radians) for #cotx = -1#?
  
• What is the equation of the tangent line of #f(x) =(4x) / (3-4x^2-x) # at # x = 1#?
  
• How do you find the integral of #int (lnx / sqrt(x)) dx# from 0 to 1?
  
• How do you find the second derivative test to find extrema for #f(x) = 2x^2lnx-5x^2#?
  
• How do you find region bounded by circle r = 3cosΘ and the cardioid r = 1 + cosΘ?
  
• How do you write #y=2x^2-10x+5# in factored form?
  
• How do you evaluate #int 1/sqrt(2x+1) # for [3, 4]?
  
• How do you use substitution to integrate #sec(v + pi/2) * tan(v + pi/2)#?
  
• How do you find f'(x) using the definition of a derivative for #f(x)=absx#?
  
• What is the domain and range for #F(x) = -2(x + 3)² - 5#?
  
• How do you find increasing, decreasing, inflection points, minimum and maximum for the graph #f(x) = ln(x)/(8sqrtx)#?
  
• How do you differentiate #y=x*sqrt(16-x^2)#?
  
• How do you differentiate #y=(4/ln2)(x^(lnx))(lnx+2ln(cosx))#?
  
• What is the derivative of #sin^4x#?
  
• How do you find the derivative of #cos(πx)#?
  
• How do you differentiate # e^x/ln x#?
  
• How do you find f'(x) using the definition of a derivative for #f(x)=sqrt(2x-1)#?
  
• How do you find the integral of #int tan^n(x)# if n is an integer?
  
• How do you solve the identity #sin(x) + sin (2x) = 0#?
  
• How do you evaluate #int cos(z)/sin^7(z) dz# for [pi/2, pi/6]?
  
• Question #68c84
  
• Question #21718
  
• How do you find the indefinite integral of #int e^(2x)sin(7x)dx#?