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CBSE Class 11-science Answered

Find the derivative of sin x using first principle?
Asked by pksunilnair | 06 Mar, 2017, 06:19: PM
answered-by-expert Expert Answer

begin mathsize 16px style Let space straight f left parenthesis straight x right parenthesis space equals space sinx Then space straight f left parenthesis straight x plus straight h right parenthesis equals sin left parenthesis straight x plus straight h right parenthesis rightwards double arrow straight d over dx left parenthesis straight f left parenthesis straight x right parenthesis right parenthesis space equals limit as straight h rightwards arrow 0 of fraction numerator straight f left parenthesis straight x plus straight h right parenthesis minus space straight f left parenthesis straight x right parenthesis space over denominator straight h end fraction space space space space space space space space space space space space space space space space space space space space equals limit as straight h rightwards arrow 0 of fraction numerator sin left parenthesis straight x plus straight h right parenthesis minus sinx over denominator straight h end fraction Use space sinC minus sinD equals 2 space sin fraction numerator straight C minus straight D over denominator 2 end fraction space cos fraction numerator straight C plus straight D over denominator 2 end fraction space to space proceed. If space you space want space the space detailed space solution comma space please space post space this space in space Ask space the space Expert. space Thank space you. end style

Answered by | 06 Mar, 2017, 06:34: PM

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