For the function

MATHEMATICS · Multi-part · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

For the function f(x)=x3−3x2+2f(x)=x^3-3x^2+2, answer the following: (i) Write an expression for the average rate of change of ff on the interval [1,1+h][1,1+h]. (ii) Hence find the instantaneous rate of change of ff at x=1x=1.

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