CAPE Pure Mathematics Unit 2 · May/June 2018 · Paper 1 · Question Q5
If f(x, y) is such that
\frac{\partial f}{\partial x} = e^x [-\sin(x + y) + \cos(x + y)] \text{ and}
\frac{\partial f}{\partial y} = -e^x \sin(x + y), \text{ 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)
The answer is shown once you've answered.
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