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
f:R-R....be a differential function satisfying f(y).f(x-y)=f(x)
x,y belong to Real nos....f'(5)=q....f(0)/f'(0)=1/p
f(5)=???..in terms of p and q.......thanks for help!
Dear tushara
f(y).f(x-y)=f(x)
replace x by x+y
f(y).f(x)=f(x+y)...........1
put x=y=0
which give f(0)=1
given f(0)/f'(0)=1/p
so f'(0)=p
Now
F'(5) =lim h→0 {f(5+h) -f(5)}/h
=lim h→0 {f(5)f(h) -f(5)}/h using the result 1
=f(5) lim h→0 {f(h) -1}/h
=f(5) lim h→0 {f(h+0) -f(0)}/h because f(0) =1
F'(5) =f(5)f'(0)
so f(5)=q/p
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation. All the best. Regards, Askiitians Experts Badiuddin
Register Yourself for a FREE Demo Class by Top IITians & Medical Experts Today !