CAPE Pure Mathematics Unit 2 · May/June 2016 · Paper 1 · Question Q14
If f(x, y) is such that \frac{\partial f}{\partial x} = e^x [-\sin(x + y) + \cos(x + y)] and \frac{\partial f}{\partial y} = -e^x \sin(x + y), then which of the following is TRUE?
- (A)
f(x, y) = e^x \sin(x + y) - (B)
f(x, y) = e^x \cos(x + y) - (C)
f(x, y) = e^x \sin(x + y) + \cos(x + y) - (D)
f(x, y) = e^y \cos(x + y)
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