Question

use implicit differentiation to find

y=(x+8)^(3x)

Answer 1

ln y = 3 x ln (x+8)

(1/y ) dy/dx = 3x[1/(x+8)] + 3 ln(x+8)

dy/dx = 3x(x+8)^3x {[1/(x+8)]+3 ln(x+8)}