Derivatives Product, Quotient and Chain Rule

Question

1. If  find: = Incorrect   =

Answer 1

f'(x) = [ (6x+2)' * (3x+4) - (6x+2)*(3x+4)' ] over (3x+4)^2. Therefore,

f'(x) = [ (6 * (3x+4) - (6x+2)*3 ] over (3x+4)^2

f'(x) = 18 over (3x+4)^2

f'(4) = 18 over (3*4+4)^2 = 18 over 256

f'(4) = 0.07