radomes.openskiesproject.org
courtneymckoon courtneymckoon
  • 21-08-2016
  • Mathematics
Answered

how to find the derivative of e^3㏑(x²)

Verified Answer :

dalendrk
dalendrk dalendrk
  • 28-08-2016

\(f(x)=e^{3\ln x^2}\\\\f'(x)=e^{3\ln x^2}\cdot\dfrac{3}{x^2}\cdot2x=e^{3\ln x^2}\cdot\dfrac{6}{x}=\dfrac{6e^{3\ln x^2}}{x}\\\\\\but\ e^{3\ln x^2}=e^{\ln (x^2)^3}=e^{\ln x^6}=x^6\ where\ x eq0\\\\therefore\ f'(x)=6x^5\)

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