Question

determine esta derivada y=a+bx/c+dx

Answer 1

Olá

Aplica a regra do quociente, dada por $y'= \frac{f'\cdot g~-~f\cdot g'}{g^2}$

Tomando "a", "b" , "c" e "d" como constantes.

$\mathtt{y= \frac{a+bx}{c+dx}} \\ \\\mathtt{ y'= \frac{b\cdot (c+dx)~-~(a+bx)\cdot d}{(c+dx)^2} } \\ \\\mathtt{ y'= \frac{bc+\diagup\!\!\!\!\!\!bdx~-~ad-\diagup\!\!\!\!\!\!bdx}{(c+dx)^2} }} \\ \\ \boxed{\boxed{\mathtt{y'= \frac{bc-ad}{(c+dx)^2} }}}$