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

question 62

Multiple Choice

Let $f(x) =x^{-2 / 3}$ .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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Definitions:

RRSP

Registered Retirement Savings Plan, a tax-deferred savings account in Canada that allows individuals to save for retirement while potentially reducing their taxable income.

RRIF

Registered Retirement Income Fund, a tax-deferred retirement plan in Canada that an individual can use to generate income from the assets inside their Registered Retirement Savings Plan.

Compounded Annually

Interest calculated once a year on both the initial principal and the accumulated interest from previous periods.

Compounded Monthly

Interest on an investment or loan calculated and added to the principal balance monthly, where each month's interest calculation includes the previous month's interest.