2.44: Small change using differentiation

0606/22/M/J/20 — Question 1 · 4 marks

Variables xx and yy are such that y=sinx+exy = \sin x + \mathrm{e}^{-x}. Use differentiation to find the approximate change in yy as xx increases from π4\dfrac{\pi}{4} to π4+h\dfrac{\pi}{4} + h, where hh is small.
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