JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation by Substitution

  • question_answer
    Differential coefficient of \[{{x}^{3}}\] with respect to \[{{x}^{2}}\] is [RPET 1995]

    A)  \[\]\[\frac{3{{x}^{2}}}{2}\]

    B)   \[\frac{3x}{2}\]

    C)   \[\frac{3{{x}^{3}}}{2}\]

    D)  \[\frac{3}{2x}\]

    Correct Answer: B

    Solution :

    \[\frac{d{{x}^{3}}}{d{{x}^{2}}}=\frac{\frac{d}{dx}({{x}^{3}})}{\frac{d}{dx}({{x}^{2}})}=\frac{3{{x}^{2}}}{2x}=\frac{3}{2}x\].


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