Use implicit differentiation to find dy/dx in terms of x if a tan y = (x^2) where (- pi/2) < y < (pi/2)
Deduce the exact value of ∫ [ x/ (1+4(x^4))] for x from (1/2)^0.5 to [(3^0.5)/2]^0.5
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Simply solve for y' (it's ok to have dy/dx in terms of both x and y)
This should remind you of arctan(u) ...
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