##y=ln(u)##
##:. dy/(du)=1/u=1/(e^(2x))##
##u=e^(2x)##, ##:. (du)/(dx)=2e^(2x)##
Now, using the …
##(dy)/(du)*(du)/(dx)=1/(e^(2x))*2e^(2x)=2##
##:. (dy)/(dx)=2##
This all worked because:
When ##y=e^(f(x))##
##(dy)/(dx)=f'(x)e^(f(x))##
Previous answers to this question
This is a preview of an assignment submitted on our website by a student. If you need help with this question or any assignment help, click on the order button below and get started. We guarantee authentic, quality, 100% plagiarism free work or your money back.
Get The Answer What is the derivative of ##ln e^(2x)##?
##y=ln(u)##
##:. dy/(du)=1/u=1/(e^(2x))##
##u=e^(2x)##, ##:. (du)/(dx)=2e^(2x)##
Now, using the …
##(dy)/(du)*(du)/(dx)=1/(e^(2x))*2e^(2x)=2##
##:. (dy)/(dx)=2##
This all worked because:
When ##y=e^(f(x))##
##(dy)/(dx)=f'(x)e^(f(x))##
Previous answers to this question
This is a preview of an assignment submitted on our website by a student. If you need help with this question or any assignment help, click on the order button below and get started. We guarantee authentic, quality, 100% plagiarism free work or your money back.
Get The Answer