Mathematics, 07.02.2021 14:00, kyle65

Suppose that the function f is continuous at [1,4] derivable at (1, 4) and still holds f (1) = 3 and f (4) = 12. Prove that: a) the function g satisfies the conditions of the Rolle theorem in space [1, 4].
b) there is at least one such that the tangent to the graph of f at point A (ξ, f (ξ)) passes through the origin of the axes.

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Suppose that the function f is continuous at [1,4] derivable at (1, 4) and still holds f (1) = 3 and...