3.92: Approximate change using differentiation

0606/21/M/J/22 — Question 7 · 6 marks

Variables xx and yy are such that y=(1+sin3x)4xy = \dfrac{(1 + \sin 3x)^{4}}{x}. Use differentiation to find the approximate change in yy when xx increases from 1.91.9 to 1.9+h1.9 + h, where hh is small.
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