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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2007

  • question_answer
    The range in which \[y=-{{x}^{2}}+6x-3\] is  increasing is                                                

    A)  \[x<3\]                                                         

    B)  \[x>3\]                                                     

    C)  \[7<x<8\]                                                   

    D)  \[5<x<6\]

    Correct Answer: B

    Solution :

    Given,   \[y=-{{x}^{2}}+6x-3\] \[\Rightarrow \]               \[\frac{dy}{dx}=-2x+6=y'\] y is increasing, if \[y'>0\] \[\Rightarrow \]               \[-2x+6>0\] \[\Rightarrow \]               \[-2x>-6\] \[\Rightarrow \]               \[2x>6\] \[\Rightarrow \]               \[x>3\]


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