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CBSE Class 12-science Answered

If y = e-x cos x , show that d2y/dx2 = 2 e-x sinx Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:59: PM
answered-by-expert Expert Answer
begin mathsize 18px style straight y equals straight e to the power of negative straight x end exponent space cos space straight x dy over dx equals negative straight e to the power of negative straight x end exponent space cos space straight x space minus straight e to the power of negative straight x end exponent space sinx space straight x equals negative straight e to the power of negative straight x end exponent open parentheses cos space straight x space plus space sinx close parentheses fraction numerator straight d squared straight y over denominator dx squared end fraction equals straight e to the power of negative straight x end exponent open parentheses cos space straight x space plus space sinx close parentheses minus straight e to the power of negative straight x end exponent open parentheses negative space sin space straight x space plus cos space straight x close parentheses equals straight e to the power of negative straight x end exponent cos space straight x plus straight e to the power of negative straight x end exponent space sinx plus straight e to the power of negative straight x end exponent sin space straight x minus straight e to the power of negative straight x end exponent cos space straight x equals 2 straight e to the power of negative straight x end exponent sin space straight x end style
Answered by Arun | 27 Aug, 2018, 03:32: PM

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CBSE 12-science - Maths
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