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Which of the following function have derivative zero for all x ?

  • Option 1)

    \sin^{2}x

  • Option 2)

    \cos ^{2}x

  • Option 3)

    \sin^{2}x- \cos ^{2}x

  • Option 4)

    \sin^{2}x+ \cos ^{2}x

 

Answers (1)

best_answer

As we have learned

Rule for differentiation -

The derivative of a constant function is zero.

- wherein

\therefore \:\:\:\frac{d}{dx}(c)=0

 

 (D) is a constant function whose value is always one , so its derivative will be zero 

 

 

 

 

 


Option 1)

\sin^{2}x

Option 2)

\cos ^{2}x

Option 3)

\sin^{2}x- \cos ^{2}x

Option 4)

\sin^{2}x+ \cos ^{2}x

Posted by

Himanshu

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