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show that the function f(x)=x2−6x+1 satisfies the Lagrange's Mean value T

show that the function f(x)=x2−6x+1 satisfies the Lagrange's Mean value Theoem.Also find the co-ordinate of a point at which the tangent to the curve represented by the above function is parallel to the chord joining A(1,-4) and B(3,-8).

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