3.23: Small change for a power of sine

0606/21/M/J/22 — Question 6 · 4 marks

Variables xx and yy are such that y=(1+sin3x)14y = (1 + \sin 3x)^{\frac{1}{4}}. Use differentiation to find the approximate change in yy as xx increases from 00 to hh, where hh is small.
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