JEE Main & Advanced JEE Main Paper (Held on 08-4-2019 Afternoon)

  • question_answer
    If \[\left( 1 \right)=1,'\left( 1 \right)=3,\] then the derivative of \[\left( \left( \left( x \right) \right) \right)+\left( \left( x \right) \right)2\] at x = 1 is : [JEE Main 8-4-2019 Afternoon]

    A) 12                               

    B) 33

    C) 9                     

    D)   15

    Correct Answer: B

    Solution :

    \[y=\left( \left( \left( x \right) \right) \right)+{{\left( \left( x \right) \right)}^{2}}\] \[\frac{dy}{dx}='\left( \left( \left( x \right) \right) \right)'\left( \left( x \right) \right)'\left( x \right)+2\left( x \right)'\left( x \right)\] \[='\left( 1 \right)'\left( 1 \right)'\left( 1 \right)+2\left( 1 \right)'\left( 1 \right)\] \[=3\times 5\times 3+2\times 1\times 3\] \[=27+6\] \[=33\]


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