12th Class Mathematics Applications of Derivatives Question Bank Case Based (MCQs) - Applications of Derivatives

  • question_answer
    Find the second order derivative of the function at x =5.

    A) 598

    B) 1176

    C) 3588

    D) 3312

    Correct Answer: C

    Solution :

    \[f''\left( x \right)=\text{ }12\left( 12{{x}^{2}}-1 \right)\] At \[x=5,f''\left( x \right)=12\left( 12\times 25-1 \right)~\] \[=12\left( 300-1 \right)=12\times 299\] = 3588.


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