Question

4x-5sobre 3x-2 qual a derivada dessa função? ​

Answer 1

Resposta:

\frac{7}{\left(3x-2\right)^2}

Explicação passo-a-passo:

\frac{d}{dx}\left(\frac{4x-5}{3x-2}\right)

\left(\frac{f}{g}\right)^'=\frac{f\:'\cdot g-g'\cdot f}{g^2}

=\frac{\frac{d}{dx}\left(4x-5\right)\left(3x-2\right)-\frac{d}{dx}\left(3x-2\right)\left(4x-5\right)}{\left(3x-2\right)^2}

\frac{4\left(3x-2\right)-3\left(4x-5\right)}{\left(3x-2\right)^2}

\frac{7}{\left(3x-2\right)^2}