Question

d dt(t 8 -t 7 + t 6+t 5 ) at t=1

Answer 1

Answer:

$y = {t}^{8} - {t}^{7} + {t}^{6} + {t}^{5} \\ \frac{dy}{dt} = 8{t}^{7} - 7{t}^{6} + 6{t}^{5} + 5{t}^{4} \\ \blue{ \underline{at \: t = 1} : } \\ = 8{(1)}^{7} - 7{(1)}^{6} + 6{(1)}^{5} + 5{(1)}^{4} \\ = 8 - 7 + 6 + 5 \\ = 12 \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$