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  5. Applications of Derivatives

12th Class Mathematics Applications of Derivatives

  • question_answer 1)
    Prove that f(x) = [x3 – 3x2 + 3x – 100] is increasing on R. 

    Answer:

    f(x) = x3 ? 3x2 + 3x ? 100       = 3x2 ? 6x + 3       = 3 (x2 ? 2x ? 1)       = 3(x ? 1)2       Since f?(x) therefore f(x) is increasing on R.  


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