Find the maximum and minimum values

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

1. Find the maximum and minimum values, if any, of the following functions given by (i) f(x)=(2x−1)2+3f(x)=(2 x-1)^{2}+3 (ii) f(x)=9x2+12x+2f(x)=9 x^{2}+12 x+2 (iii) f(x)=−(x−1)2+10f(x)=-(x-1)^{2}+10 (iv) g(x)=x3+1g(x)=x^{3}+1

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