Question: Assume that and g are differentiable on [a, b] and that (a) = g(a) and (b) = g(b). Show that there is at least

Assume that ƒ and g are differentiable on [a, b] and that ƒ(a) = g(a) and ƒ(b) = g(b). Show that there is at least one point between a and b where the tangents to the graphs of ƒ and g are parallel or the same line. Illustrate with a sketch.

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