Determine the critical points of f(xx, y) = x ³ + = = Y the -3x4-44+2 and also determine second derivative test whether each point corresponds to a relative maximum, to a relative minimum, to neither, or whether the test gives no information B 1 Use differentials only to find an approximate value of √ 4.1

Q: Find all local maximum and minimum points of y = 2 + 3x − x³ by the second derivative test.

A: y = 2 + 3x - x3    => y' = dy/dx = 3 - 3x2 = 0 (set)                => 3(1 - x2) = 0…

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Q: 3. Find the points (x,y) of the function f(x) = -x³ + 12x² - 5 where the tangent is horizontal AND…

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Q: 6. Use the nth derivative test to show that -x has a maximum at x = 0.

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A: Topic = Derivative

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Q: Consider the function -3 f(x)=√1+z² (a) Find the linearization of the function f near z = 0. In…

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Q: a) f(x)=x44 b) g(x)=(3-x+4x²)(2x²- c) h(x) = x² – 3x 2-x²

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Q: b) f(x)=√x - √x c)

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