Find the equation of the tangent line of f^-1(x) at the point where it intersects the x-axis

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25-08-2017
Mathematics

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Find the equation of the tangent line of f^-1(x) at the point where it intersects the x-axis

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ghanami ghanami · Answer 1 · 2017-08-25T10:23:17+02:00

ghanami ghanami

25-08-2017

hello :
note :
1 ) f(X0) = Y0 equiv : X0 = f^-1(Y0)
2 ) ( f^-1(Y0) )' = 1/ f'(X0)
in this exercice : X0 = 0
he equation of the tangent line for graph of : f
Y - Y0 = f'(X0) (X- 0)
sp : he equation of the tangent line for graph of : f^-1(x) is :
X -X0 = f'(Y0) (Y -0)

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