The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of this function using the Second Derivative Test. Discuss the behavior of the function (increase/decrease) and how it relates to f'(x). 2. Use the information from problem 1 to find the possible inflection points. Discuss the concavity, and how it relates to f''(x).

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

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Q: y = ǀsinx ǀ Estimate and list out the values of x where derivative of this function does not exist

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A: The given function is; f(x)= sqrt(5x+x2).

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A: To differentiate the following function.

Q: 5-x. Calculate the derivative of y with re

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Q: Differentiate. F(x) = (8x + 3)² %3D F'(x) =

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A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 4. Explain the steps to find the derivative of the given function using the first principles y = √√x…

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Q: Consider the following function: Step 1 of 4: Determine f'(x) and f"(x). Answer f'(x) = = || - 1x4 +…

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