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6. a. Use an x− interval of 0.0001 to determine the instantaneous range of change of...

6. a. Use an x− interval of 0.0001 to determine the instantaneous range of change of the function f(x)= x^4+ 8x^3 +19x^2+12x at x = −2.

Give answer to the nearest tenth. [A3]

b. Determine whether the function f(x)= x^4+ 8x^3 + 19x^2+12x at x = − 2
has a maximum or minimum at the point where x = − 2. Justify your answer. [A5] [C2]

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