What will be the average rate of change of the function [y = 16 – x^2] between x = 3 and x = 4?(a) 7(b) -7(c) 9(d) -9The question was asked during an interview for a job.Enquiry is from Application of Derivative topic in section Application of Derivatives of Mathematics – Class 12

What will be the average rate of change of the function [y = 16 – x^

1.	What will be the average rate of change of the function [y = 16 – x^2] between x = 3 and x = 4?(a) 7(b) -7(c) 9(d) -9The question was asked during an interview for a job.Enquiry is from Application of Derivative topic in section Application of Derivatives of Mathematics – Class 12
Answer» RIGHT choice is (b) -7 To elaborate: Let, y = f(x) = 16 – x^2 If x changes from 3 to 4, then, δx = 4 – 3 = 1 Again f(4) = 16 – 4^2 = 0 And f(3) = 16 – 3^2 = 7 Therefore, δy = f(4) – f(3) = 0 – 7 = -7 Hence, the average RATE of change of the FUNCTION between x = 3 and x = 4 is: δy/δx = -7/1 = -7.

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