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Question b, c
Differentiating the function $f(x) = x - rac{1}{2}(x + 6)^{rac{1}{2}}$ with respect to $x$: To find the derivative, we apply the rules of differentiation. 1. The... show full transcript
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Setting the derivative to 0: 0 = 1 - rac{1}{2(x + 6)} Solving gives: x = -rac{11}{2} Now substituting back to find : y = -rac{11}{2} - rac{1}{2 ext{(}rac{1}{2} ext{)}} The coordinates of the turning point are ext{(}-rac{11}{2}, -5 ext{)}.
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