Class 12 Math Calculus Area

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 .
The value of the parameter a for which the area of the figure bounded by the abscissa axis, the graph of the function , and the straight lines, which are parallel to the axis of ordinates and cut the abscissa axis at the point of extremum of the function, which is the least, is

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