A function defined by (0,\infty) by f(x)=\{\table1-x^2,for,0 < x \leq 1;\ln x,for,1 < x \leq2;\ln 2-1+0.5x,for,2 < x< \inftyWhich one of the following is correct in respect of the derivative of the function, i.e., f’(x)? [NDA II 2017]

Correct Answer is : f′(x)=−2x for 0<x≤1

NDA Math Limit, Continuity and Differentiability

Question : 44 of 105

Marks: +1, -0

A function defined by (0,∞) by

f(x)={

Which one of the following is correct in respect of the derivative of the function, i.e., f’(x)?

[NDA II 2017]

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