Find the derivative with respect to x of the quantity e raised to the power of 7 times the natural log of x.

Question

Question 4 options:

1)	7e7lnx
2)
3)	7x6
4)	x7

Answer 1

Did you mean: y = e^7lnx ?

Use the chain rule: u = 7lnx, u' = 7/x

y = e^u

y' = e^u (u') = e^7lnx *7/x (This simplifies to 7x⁶ )

Or was it: y = e⁷ * lnx ?

Then y' = e⁷/x