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Let f(x)=x2/3f(x)=x^{-2 / 3} Use a Graph to Decide Which One of the Following

Question 62

Multiple Choice

Let f(x) =x2/3f(x) =x^{-2 / 3} .Use a graph to decide which one of the following statements is true.


A) When x = -5, the derivative is negative; when x = 5, the derivative is positive; and as x approaches infinity, the derivative approaches 0.
B) When x = -6, the derivative is positive; when x = 6, the derivative is also positive, and as x approaches infinity, the derivative approaches 0.
C) When x = -7, the derivative is negative; when x = 7, the derivative is positive, and as x approaches infinity, the derivative approaches infinity.
D) The derivative is positive at at all values of x.

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