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CBSE Class 12-science Answered

Find second derivative of e2x cos 3x  explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 10:55: PM
answered-by-expert Expert Answer
begin mathsize 18px style straight y space equals space straight e to the power of 2 straight x end exponent space cos space 3 straight x
dy over dx equals space straight e to the power of 2 straight x end exponent space cos space 3 straight x space open parentheses 2 close parentheses space minus space space straight e to the power of 2 straight x end exponent space sin space 3 straight x space open parentheses 3 close parentheses
fraction numerator straight d squared straight y over denominator dx squared end fraction equals space 4 straight e to the power of 2 straight x end exponent space cos space 3 straight x minus 6 straight e to the power of 2 straight x end exponent space sin space 3 straight x minus 6 straight e to the power of 2 straight x end exponent space sin space 3 straight x minus 9 straight e to the power of 2 straight x end exponent space cos space 3 straight x
fraction numerator straight d squared straight y over denominator dx squared end fraction equals space minus 5 straight e to the power of 2 straight x end exponent space cos space 3 straight x minus 12 straight e to the power of 2 straight x end exponent space sin space 3 straight x
end style
Answered by Arun | 27 Aug, 2018, 03:08: PM
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