Limit Continuity and Differentiability 7 Question 20

20. Let f:RR be a function defined by f(x)=maxx,x3. The set of all points, where f(x) is not differentiable, is

(a) 1,1

(b) 1,0

(c) 0,1

(d) 1,0,1

(2001, 2M)

Show Answer

Answer:

Correct Answer: 20. (a)

Solution:

  1. Since, y2=P(x)

On differentiating both sides, we get

2yy1=P(x)

Again, differentiating, we get

2yy2+2y12=P(x)2y3y2+2y2y12=y2P(x)2y3y2=y2P(x)2(yy1)22y3y2=P(x)P(x)P(x)22

Again, differentiating, we get

2ddx(y3y2)=P(x)P(x)+P(x)P(x)2P(x)P(x)22ddx(y3y2)=P(x)P(x)d2ydx2=P(x)P(x)



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक