Find the derivative of the following function:

Question

y = 9In(3-x)

find dy/dx =

Answer 1

y = 9In(3 - x)

write the derivative each side with respct to x

dy/dx = 9 d/dxln(3 - x)                  [d/dxln(3-x)=1/3-x d/dx(3-x)]

dy/dx = 9 (1 / 3 - x) d/dx (3 - x)            [d/dx(3-x)= -1]

dy/dx=9/( 3- x) ( -1 )

dy/dx = - 9 /(3 - x)