MA 1325 Quiz 7

May g(x) = x ln x - x + e be used to express the antiderivative of h(x) = ln x?

• yes, due to g'(x) = 2 ln x - 2

• yes, due to g'(x) = 1 + ln x - 1

• yes, due to g'(x) = ln 2 - 2 + x

• no, due to g'(x) = ln x - 2

• no, due to g'(x) = ln (x - 1)

• 0.5

• -0.5

• 2

• -2

• no solution

Which of the following statements is true? Choose all that apply.

• The antiderivative of a function is essentially the same as an integral sign.

• An indefinite integral captures the essence of a function.

• The derivative of a function is equal to its antiderivative.

• The antiderivative of a function can be conveyed as the opposite of a derivative.

• A derivative of a function can be found by applying its antiderivative.