Question
If y=f(x) is a monotonic function in (a,b), then the area bounded by the ordinates at .
Differentiating w.r.t. c, we get
For maxima and minima ,
Hence,
Hence, A is minimum when .
If the area enclosed by between two consecutive points of extremum is minimum, then the value of a is
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Question Text | If y=f(x) is a monotonic function in (a,b), then the area bounded by the ordinates at . Differentiating w.r.t. c, we get For maxima and minima , Hence, Hence, A is minimum when . If the area enclosed by between two consecutive points of extremum is minimum, then the value of a is |