12th Class Mathematics Applications of Derivatives

  • question_answer 1)
    Find the maximum value of 2x3 – 24x + 107 in [1, 3]. Find the maximum value of the same function in [–3, –1]. 

    Answer:

    Let f(x) = 2x3 ? 24x + 107                   f?(x) = 0                         Now
    x 1 2 3
    f(x) 85 75 89
           f(x) have maximum value = 89 x       And
        X                                -3 -2 -1
    f(x) 125 139 129
           f(x) have maximum value = 139 when  


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