Science:Math Exam Resources/Courses/MATH110/April 2018/Question 01 (a)
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Question 01 (a)
Select all that apply: The rate of the function at is given by
(d) the slope of the secant line through the points and .
(e) the slope of the tangent line through the point .
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The rate of change at a point is the instantaneous rate of change.
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The rate of change of a function at a point is the value of the derivative of the function at that point.
Statement (a) is simply the value of at , not the value of the derivative. Statements (b) and (d) both give the average rate of change of between and , whereas the question asks for the instantaneous rate of change at .
Statements (c) and (e) both give the value of the derivative of , which is what we are after.
Answer: The correct answers are .