- #1
winslow
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Homework Statement
Find the derivative of the following function. Simplify where possible.
y=31*arctan(sqrt(x))
Homework Equations
I know that the derivative of arctan(x) = 1 / (1+x2)
I also know we will be using chain rule and product rule.
The Attempt at a Solution
y' = (31)'[arctan(sqrt(x))] + (31)[arctan(sqrt(x))]'
y' = (0)[arctan(sqrt(x))] + (31)*[1/(1+x2)] * (2sqrt(x))
y' = 31 / (2sqrt(x))(1+x2)
However the correct answer is
y' = 31 / (2sqrt(x))(1+x) <-- no x2
I'm not sure why the x2 ends up being just x. I checked if it was simplifying problem but that wasn't it (at least not from what I see).
Thanks for the help in advance.