CAPE Pure Mathematics Unit 2 · May/June 2017 · Paper 1 · Question Q7

Given e^{x+y} - x = 0, then \frac{dy}{dx} is equal to

1. (A)\frac{1}{e^x + y}
2. (B)\frac{1 - e^{x+y}}{e^{x+y}}
3. (C)\frac{1}{e^{x+y}}
4. (D)\frac{1 - e^{x+y}}{e^x}