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The curve C has equation y = 12 ext{(} oot{2}{x} ext{)} - x^{ rac{3}{2}} - 10, ext{ where } x > 0 (a) Use calculus to find the coordinates of the turning point on C - Edexcel - A-Level Maths Pure - Question 2 - 2009 - Paper 2

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The-curve-C-has-equation---y-=-12-ext{(}-oot{2}{x}-ext{)}---x^{-rac{3}{2}}---10,--ext{-where-}-x->-0--(a)-Use-calculus-to-find-the-coordinates-of-the-turning-point-on-C-Edexcel-A-Level Maths Pure-Question 2-2009-Paper 2.png

The curve C has equation y = 12 ext{(} oot{2}{x} ext{)} - x^{ rac{3}{2}} - 10, ext{ where } x > 0 (a) Use calculus to find the coordinates of the turning point o... show full transcript

Worked Solution & Example Answer:The curve C has equation y = 12 ext{(} oot{2}{x} ext{)} - x^{ rac{3}{2}} - 10, ext{ where } x > 0 (a) Use calculus to find the coordinates of the turning point on C - Edexcel - A-Level Maths Pure - Question 2 - 2009 - Paper 2

Step 1

State the nature of the turning point.

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Answer

Since y<0y'' < 0 at the turning point, this indicates that there is a local maximum at (4, 6). Therefore, the nature of the turning point is that it is a maximum.

Step 2

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Step 3

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Step 4

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Step 5

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Step 6

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Step 7

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Step 8

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