. Which of the following are…

MATHEMATICS · Multi correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

f(x)=∣x2−3∣x∣+2∣f(x)=\left|x^2-3|x|+2\right|. Which of the following are true? (a) f′(x)=2x−3f'(x)=2x-3 for x∈(0,1)∪(2,∞)x\in(0,1)\cup(2,\infty) (b) f′′(x)=2x+3f''(x)=2x+3 for x∈(−∞,−2)∪(−1,0)x\in(-\infty,-2)\cup(-1,0) (c) f′(x)=−2x−3f'(x)=-2x-3 for x∈(−2,−1)x\in(-2,-1) (d) None of these

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