Question

Derivada usando a definição

2x - 1

Answer 1

Resposta:

Explicação passo a passo:

$\frac{df(x)}{dx} =\frac{f(x+\Delta x)-f(x)}{\Delta x} \\\\\frac{df(x)}{dx} =\frac{[2(x+\Delta x)-1]-[2x-1]}{\Delta x} \\\\\frac{df(x)}{dx} =\frac{2x+2\Delta x-1-2x+1}{\Delta x} \\\\\frac{df(x)}{dx} =\frac{2\Delta x}{\Delta x} \\\\\frac{df(x)}{dx} =2$