1i think it is e)...
for any funtion y, dydx= (x - a)2n(x - b)2n+1 then
a) a and b r point of minimum b) a and b r point of max.
c) a is point of min and b is point of max
d) a is point if max and b is point of min
e) none of above
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3 Answers
1Change of sign of dydx occurs only due to (x-b)2n+1 cause of its odd power. So at b, dydx changes sign from -ve on the left to +ve on the right. So b is a point of minima. a is a pt. of extremum. it is neither min. nor max. since no change of sign. Here the curve makes 0 slope for a moment but doesn't create convexity or concavity .
