SOLUTION: I need to find the derivative of these two questions. Can you please help me? y= tan^-1 x/2 y= 2square root x subtract 1/2squarerootx Thankyou.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I need to find the derivative of these two questions. Can you please help me? y= tan^-1 x/2 y= 2square root x subtract 1/2squarerootx Thankyou.      Log On


   

Question 270288: I need to find the derivative of these two questions. Can you please help me?
y= tan^-1 x/2
y= 2square root x subtract 1/2squarerootx
Thankyou.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find the derivative of these two questions. Can you please help me?
y= tan^-1 (x/2)
y' = (1/2)*1/(1 + (x/2)^2) = 1/(2*(1 + x^2/4))
y' = 1/(2*(4+x^2)/4) = 1/((x^2+4)/2)
y' = 2/(x^2 + 4)
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y= 2square root x subtract 1/2squarerootx
y+=+2x%5E%281%2F2%29+-+%281%2F2%29%2Ax%5E%28-1%2F2%29 ?? some ambiguity in the problem stated
y' = x^(-1/2) + (1/4)x^(-3/2)
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y' = sqrt%28x%29%2A%284x%2B1%29%2F%284x%5E2%29