Question

A DERIVADA DA PRIMEIRA DA FUNÇÃO F(X) = X^2 - 5/ 2X - 2 É IGUAL A?

Answer 1

Derivada do quociente

$\large \boxed{\boxed{\boxed{\boxed{\mathsf{(\dfrac{u}{v})'=\dfrac{u'.v-u.v'}{v^2}}}}}}$

$\mathsf{f(x)=\dfrac{x^2-5}{2x-2}}$

$\mathsf{f'(x)=\dfrac{2x(2x-2)-(x^2-5).2}{(2x-2)^2}}\\\mathsf{f'(x)=\dfrac{4x^2-4x-2x^2+10}{(2x-2)^2}}$

$\large\boxed{\boxed{\boxed{\boxed{\mathsf{f'(x)=\dfrac{2x^2-4x+10}{(2x-2)^2}}}}}}$