Question
If 2^ x +2^ y =2^ x+y , then d y d x =
BITSAT
Mathematics
Differentiation
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. 2^ x-y 2^ y -1 2^ x -1
- B. 2^ x-y 2^ y -1 1-2^ x
- C. 2^ x +2^ y 2^ x -2^ y
- D. None of these
Answer
D. None of these
Step-by-step solution
On differentiating array l 2^ x 2+2^ y 2 dy dx \\ =2^ x 2^ y dy dx 2+2^ y 2^ x 2 \\ 2^ x +2^ y dy dx =2^ x+y dy dx +2^ x+y \\ dy dx = 2^ x+y -2^ x 2^ y -2^ x+y \\ dy dx = 2^ x +2^ y -2^ x 2^ y -2^ x -2^ y =-2^ y-x array
Related: Mathematics — Differentiation · All PYQ Banks