If f is differentiable at a point x, then f must also be continuous at x. In particular, any differentiable function must be continuous at every point in its domain. The converse does not hold: a continuous function need not be differentiable. For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.
if a function is continuous then it is differentiable at that point?
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Answer: yes

The Mist is an American science fiction-horror thriller television series developed by Christian Torpe. It is based on the horror novella of the same name by author Stephen King. The series aired for one 10-episode season on Spike from June 22 to August 24, 2017. On September 27, 2017, Spike cancelled the series.
is the mist tv show based on the movie?
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Answer: no

Tornadoes have been documented in every U.S. state (not including the non-state territories of Guam, the Virgin Islands, American Samoa, and Puerto Rico) at least once since 1950, although some regions and states are hit by tornadoes far more than others. For example, the average number of tornadoes to hit the states of Alaska, Rhode Island, and Vermont is less than one, while the state of Oklahoma receives an average of 52 tornadoes per year, and the state of Texas is hit with 126 tornadoes in an average year. The state with the most tornadoes per unit area is Florida, though most are weak tornadoes of EF0 or EF1 intensity. A number of Florida's tornadoes occur along the edge of hurricanes that strike the state. The state with the highest number of strong tornadoes per unit area is Oklahoma. States such as Oklahoma and Kansas have much lower population densities than Florida, so tornadoes may go unreported.
are there any states that don't have tornadoes?
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Answer:
no