Answers created by Maharshi

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• What is the limit of # tan(1/x)# as x approaches infinity?
  
• How do you differentiate #sin((2sqrtx+1)/(x+1))#?
  
• How do you use the chain rule to differentiate #y=(x+1)^(1/2)#?
  
• What is the equation of the line normal to #f(x)=- tan(2pix -2)# at #x=3#?
  
• What is 56% of 25?
  
• How do you find the integral of #1/(sin^2(x))#?
  
• Is #f(x) =-x^3+(x-8)(x+3)# concave or convex at #x=1#?
  
• If #y# varies directly as the cube of #x#, what is the value of #y# in the ordered pairs #(4,16)# and #(2,y)#?
  
• How do you find the critical points for #f(x) = (x^2-10x)^4# and the local max and min?
  
• What is the equation of the normal line of #f(x)=1/(1-2e^(x)# at #x=-1#?
  
• What is the area under the polar curve #f(theta) = 3theta^2+thetasin(4theta-(5pi)/12 ) +cos(2theta-(pi)/3)# over #[pi/8,pi/6]#?
  
• How do you find the maximum, minimum and inflection points and concavity for the function #f(x)=6x^6+12x+6#?
  
• How do you simplify #12-15sqrt6 + 8sqrt6 - 10sqrt36#?
  
• How do you find the limit of #sqrt(3+x) - sqrt(3)/x # as x approaches 0?
  
• How do you differentiate #y= arctan(x - sqrt(1+x^2))#?
  
• How do you find the derivative of #6/(x^2 + 3)#?
  
• How do you solve #2 (5x + 1) = 3 (3x + 7) #?
  
• How do you differentiate #f(x)=(e^x+x)(cotx+x)# using the product rule?
  
• How do you find the derivative of #y = (2x+3)^4 / x#?
  
• How do you differentiate #f(x)= e^x/(2e^(2x) -x )# using the quotient rule?
  
• For #f(t)= (t/(t+2)-t+1,t^2-t)# what is the distance between #f(2)# and #f(5)#?
  
• How do you find the limit of #f(x) = (x^2 - 1) / ( x + 1) ^2# as x approaches 0?
  
• What is the integral of #int dx/(1+x^2) # from -1 to 1?
  
• If #f(x) = -x -2# and #g(x) = e^(-x^3-1)#, what is #f'(g(x)) #?
  
• How do you evaluate the definite integral #int (x+6)^2dx# from [0,4]?
  
• Question #f79aa
  
• How do you find the derivative of #(log^2(x))#?
  
• How do you solve #x^2+x-8=4#?
  
• How do you simplify #(12x^7)/ (4x^2)#?