Differentiate. f(x)= ax+b / cx+d

Question

Differentiate

f(x)= ax+b / cx+d

Answer 1

Please put parenthesis around the numerator and denominator:

y = (ax+b)/(cx+d)

Otherwise the browser software will render it as a completely different function.

Quotient rule says:

y' = [ a(cx+d) - c(ax+b)]/(cx+d)^2

= [ ad-bc]/(cx+d)^2