Question

If \[ 2^x+2^y=2^{x+y}, \] then \[ \frac{dy}{dx}= \]

• A. \(1-2^y\)
• B. \(1-\frac{1}{2^y}\)
• C. \(1+2^{-y}\)
• D. \(1+2^y\)

Hint:

In implicit differentiation, remember that \(\frac{d}{dx}(a^y)=a^y\log a\cdot \frac{dy}{dx}\).

Answer 1

The Correct Option is A