Find all local extrema using the second derivative test. Show all work for full credit. Make sure to write a justification sentence for each critical point. (example at the bottom of this page) 1. 93 f(x) = 9x5 — 9׳ 2. f (x) = x(x − 4)³ (use product rule and chain rule) Answer examples: ● • f(x) has a max at x=1 becasue f"(x)<0 f(x) has a min at x=5 and x=6 becasue f"(x)>0 f(x) has neither a max or min at x=-2 because f'(x)=0

Q: 3. Use the first derivative test to locate all local extreme for f(x) = x - 9x2 + 24x

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Q: This is an upload question. Use the piecewise defined function below to answer the questions. 3 X O…

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Q: 7. If f(t) = /2t² +1, find f"(2).

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Q: 32) Sx+4X+ orerd

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A: Domain: The set of values of x for which function is defined.

Q: |(9-x)³ x² – 2 9. f(x) = In -

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Q: Find the relative extrema of the following function. You may use either derivative test to figure…

A: The given function is: f(x)=-x4-8x3+32x2

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Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

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Q: Rewrite f(x) = |4x + 4 – 3 as a piecewise function. %3D (4x + 4) -3 x if x

A: Solve by piecewise defined functions

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Q: 3. Suppose that f(x)=2000x-.02.r³+6²-2216r-1920. Find all local and global maxima and minima of this…

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Q: Evaluate the step function defined by f(x) = [[x]] for the given value of x. s(-3,4) = I

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