MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade:
        
Of y=f(x) is a differentiable function of x such that inverse function x=1/f(y) exists then prove that x is a differentiable function of y and dx/dy=1/dy/dx, when dy/dx is not equal to zero.
 
one month ago

Answers : (1)

Aditya Gupta
713 Points
							
We will let inverse function exist and callcit f-1
Then we want to determine if y= f-1(x) is differentiable or not
But f(y)=x
f'(y)*dy/dx=1
dy/dx=1/f'(y), but as it is given that f is differentiable that means f' exists for all y, and hence the inverse function is differentiable with its differential= 1/f'(y) as long as the denominator is not zero.
one month ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 170 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details