If y=f(x) is a monotonic function in (a,b), then the area bounded | Filo

Class 12

Math

Calculus

Area

548
150

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

548
150

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