Answer:
df/dx = e^x(1/x+ ln(x))
Step-by-step explanation:
f(x) = e^x * ln(x)
We can solve this by partial derivatives
df/dx = u dv + v du
let u = e^x and v = ln(x)
df/dx = e^x * 1/x + ln(x) * e^x
Factor out the e^x
df/dx = e^x(1/x+ ln(x))
The amount you will repay can be solved by:
Amount to be repaid = ( $ 1, 431 borrowed) ( $ 0.31 per day
/ $ 500 borrowed) 151 days
Amount to be repaid = $ 133.97
The annual interest rate is:
1431 + 133.97 = 1431( 1 + i)^ 151(1/360)
Solve for i
i = 0.2378 or 23.78 % per year
∛256 = 4∛4
so
∛(256 x^10y^7)
= 4x^3y^2 ∛(4xy)
answer is B. second choice
