Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
define and prove rolles theorem
If areal-valued functionfiscontinuouson aclosed interval[a,b],differentiableon theopen interval(a,b), andf(a)=f(b), then there exists acin the open interval (a,b) such that df(x)/dx at x=c is zero.
Proof:
It can be claimed, since the function is continuous and its value at end points is equal, so it must attains a maximum in between at some point c, which imply that its derviative should be zero at that point.
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !