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Suppose f is a differentiable function on the interval [0,2] [0,2 ]and the derivative does not vanish at any point in that interval.Then ff can only have extrema at x=0x=0 or x=2. True or False ? With reasonx=2

vansh kharbanda , 9 Years ago
Grade Upto college level
anser 1 Answers
PASUPULETI GURU MAHESH

Last Activity: 8 Years ago

TRUE, SINCE THE FUNCTIONderivative does not vanish at any point in that interval. SO THERE IS NO POSSIBLE TO DETERMINE CRITICAL POINTS.AND THERE IS NO CRITICAL POINTS OF THE FUNCTION WE FIND LOCAL EXTREME VALUES BY USING END POINTS. SO F HAVE extrema at x=0x=0 or x=2. IS True LOCAL

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