Question

differentiate using product, chain and quotient rule

ln x / 5x-7


and


e^x / 2x^3 - 1

could you help me out with the first and just point me in the right direction for the first i cant seem to get the steps in the right order and then it gets all muddled

thank you

A!

Answer 1

let u= e^x v=(5x-7)
du/dx=e^x dv/dx= 5
f= uv^-1
f'= u d(v^-1)/dx+ v^-1 du/dx

f'= -uv^-2 dv/dx + v^-1 e^x
so...

f'=-5e^x/(5x-7)^2+ e^x/(5x-7

check that.