Question

QUAL A DERIVADA Y = 2X-3 SOBRE X-5

Answer 1

Aplicando a regra do quociente temos:

$\frac{x}{g} ^{,} = \frac{f ^{,}.g-g ^{,} .f }{g^2}$


$\frac{( 2x-3)(x-5) - ( x-5) (2x-3) }{(x-5)^2}$
      
$\frac{d}{dy} (2x-3)=2$



$\frac{d}{dy} ( 2x -3)$

$\frac{d}{dy}(2x) - \frac{d}{dy}(3)$

$\frac{d}{dy} (2x)=2$

$\frac{d}{dy} (3)=0$

Logo:

$2 - 0 = 2$

$\frac{d}{dy} (x-5) = 1$

$\frac{d}{dy} (x-5)$

$\frac{d}{dy} (x) - \frac{d}{dy} (5)$

$\frac{d}{dy} (x)=1$

$\frac{d}{dy} (5) = 0$

Logo:

$1 - 0 = 1$

Simplificando:

$\frac{2(x-5)-1(2x-3)}{(x-5)^2}$

$- \frac{7}{(x-5)^2}$

espero ter ajudado!.