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Find derivative: f(u) = arctan(u/(1+u)

Find derivative: f(u) = arctan(u/(1+u)
asked 171k views
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Find derivative: f(u) = arctan(u/(1+u)

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User Sangupta
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1 Answer

1 vote
f ` ( x ) =

(1)/(1+ (u ^(2) )/((1+u) ^(2) ) ) * ( (u)/(1+u))`= \\ = (1)/( ((1+u) ^(2)+ u^(2) )/((1+u) ^(2) ) ) * ((u)`(1+u)-(1+u)` u)/((1+u) ^(2) ) = \\ = ((1+u) ^(2) )/((1+u) ^(2)+u ^(2) ) * (1+u-u)/((1+u) ^(2) ) = \\ = (1)/(1+2u+2u ^(2) )
answered
User Reinout Van Rees
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7.7k points
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