Explain why the derivative of g(x) = 1/1+t^2 dt is NOT g'(x) = 1 / 1+x...

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Question

Explain why the derivative of g(x) = Н tan 1/1+t^2 dt is NOT g'(x) = 1 / 1+x -cos^2 x using FTC1 and the chain tan x 1  t 2 1  x rule. Find the correct g’(x).

math Advanced-Math

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Answer 1

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Here 414) = s taken at Itt tana Apply Newton Leibnitzs rule, diff bolh side Sul, wirit. we get - g(n) 1 = 1 +68577 da (ra)

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Answer 2

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Explain why the derivative of g(x) = 1/1+t^2 dt is NOT g'(x) = 1 / 1+x...