if 8ƒ(x)=6ƒ(1/x)=x+5and y=x^2ƒ(x)then find the value of of dy/dx at x=1
plz sir make me understand this question step by step
note x^2 means x square

Question

if 8ƒ(x)=6ƒ(1/x)=x+5and y=x^2ƒ(x)then find the value of of dy/dx at x=1 plz sir make me understand this question step by step note x^2 means x square

Ramesh V · Answer

I'll take the question to be : 8&fnof;(x)+6&fnof;(1/x)=x+5 ........(1) now put 1/x for x , we get -> 8&fnof;(1/x)+6&fnof;(x)=(1/x)+5 ....(2) on solving, we'll get f(x) = { 4x -(3/x)+5 } / 14 so Y = x 2 /14* (4x -(3/x)+5 ) dy/dx = (12x 2 + 10x -3)/14 dy/dx at x=1 is 19/14

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

if 8ƒ(x)=6ƒ(1/x)=x+5and y=x^2ƒ(x)then find the value of of dy/dx at x=1 plz sir make me understand this question step by step note x^2 means x square

if 8ƒ(x)=6ƒ(1/x)=x+5and y=x^2ƒ(x)then find the value of of dy/dx at x=1
plz sir make me understand this question step by step
note x^2 means x square

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Differential Calculus

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship