Question

Qual a derivada de 2x+5/(4x) ?

Answer 1

Resposta:

dx(2x

2

+5)×(4x−1)+dx(4x−1)×(2x

2

+5)

Aplicando as derivadas:

\begin{gathered}4x(4x - 1) + 4(2 {x}^{2} + 5) \\ = 16 {x}^{2} { - 4 }^{} + 8 {x}^{2} + 20 \\ = 24 {x}^{2} + 16 \\ = 3 {x}^{2} + 2\end{gathered}

4x(4x−1)+4(2x

2

+5)

=16x

2

−4

+8x

2

+20

=24x

2

+16

=3x

2

+2