Question

use logarithmic differentiation to find the derivative of the function.y = x^(9x)

Answer 1

y = x^9x
ln y = ln (x^9x), let's assume x > 0 then y > 0
lny = 9x*ln(x)
differentiating leads us to
y'/y = 9ln(x) + 9
so y' = x^(9x) * (9ln(x)+9)

Answer 2

Did you follow that malik? ^^

Answer 3

kinda...i really starting to hate calc..