say true or false 1.) the derivative where the function attains maxima or minima must be zero. 2.) if a function is differentiable at a point, then it must be continuous at that point.

Asked by  | 18th Apr, 2013, 08:56: PM

Expert Answer:

1. True -- At the point of the local maxima or minima, the derivative of the function must be 0, such that the tangent at that point is parallel to the x-axis. 
 
2. True -- One essential condition for the function to be differentiable at any given point  is that it should be continuous at that point and so the vice versa is also true. 

Answered by  | 18th Apr, 2013, 09:14: PM

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