Advanced Functions (MHF4U) · Characteristics Functions

Instantaneous Rate of Change (Introduction to Derivatives)

30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.

Start the 30 questions Curriculum: MHF4U-CF.4

Sample: the first question, solved

Which type of rate of change describes the change in a function over an entire interval, rather than at one exact point?

📘 Worked solution
Average rate of change measures overall change across an interval, using the slope between two endpoints.

And one from the hard end

"For f(x)=3x²−2x+1, estimate the instantaneous rate of change at x=5 using intervals [5,5.1], [5,5.01], [5,5.001], and state the true instantaneous rate the estimates are converging to."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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