Question

derive a função

y= t² - 1
t + 4​

Answer 1

Temos y = (t² - 1)/(t + 4) = (t² - 1) • 1/(t + 4).

Assim,

dy/dt = [(t² - 1)' • (t + 4) - (t² - 1) • (t + 4)']/(t + 4)²

= [(2t) • (t + 4) - (t² - 1) • (1)]/(t + 4)²

= [2t(t + 4) - t² + 1]/(t + 4)²

= (2t² + 8t - t² + 1)/(t + 4)²

= (t² + 8t + 1)/(t + 4)².

Bons estudos ma dear.