Home
Class 12
MATHS
If e^x + e^y = e^(x+y) then (dy )/( ...

If ` e^x + e^y = e^(x+y) ` then ` (dy )/( dx) =……..`

A

`e^(x-y)`

B

`e^(y-x)`

C

`-e^(y-x)`

D

`-e^(x-y)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-A)|20 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-B)|16 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

If x^(y)= e^(x-y) , then find (dy)/(dx)

If y=e^(x)sin x , then find (dy)/(dx)

e^(x) + e^(y) = e^(x+ y) then prove that, (dy)/(dx) + (e^(x) (e^(y)-1))/(e^(y) (e^(x)-1))=0

y= e^(3x + 7) " then " y_(n) (0)= ……..

y = e^(2x)(a + bx)

y= e^(x+ e^(x+ e^(x+ ....oo))) then find (dy)/(dx)

If x^2e^y+2xye^x+13=0 then (dy)/(dx)=

If y=e^(x)tanx+x.log_(e)x, then find (dy)/(dx)

If y^(x)= e^(y-x) , then prove that (dy)/(dx)= ((1+ log y)^(2))/(log y)