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  • Need clarity, kindly explain! - Limit , continuity and differentiability - JEE Main-5

Let f(x) = log _{e}(x^{2}) then f'(x) equals

  • Option 1)

    1/x^{2}

  • Option 2)

    2/x

  • Option 3)

    e^{x^{2}}

  • Option 4)

    x^{2}

 

Answers (2)

best_answer

As we have learned

Logarithmic functions -

\frac{d}{dx}(log_{e}x)=\frac{1}{x}


\frac{d}{dx}(log_{e}f(x))=\frac{1}{f(x)}.\frac{d}{dx}f(x)

-

 

f'(x)= \frac{d}{dx}f(x)= \frac{d}{dx}(log _{e}x^{2}) = 1/x^{2}* \frac{d}{dx}(x^{2} )=2x/x^{2}=2/x 

 

 

 

 

 


Option 1)

1/x^{2}

Option 2)

2/x

Option 3)

e^{x^{2}}

Option 4)

x^{2}

Posted by

Himanshu

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JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

2/x

Posted by

Shaima.s

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