Let $P(t)=2(5{)}^t.$ Then $P^{\text{'}\text{'}}(t)=?$

$($a$)P^{\text{'}\text{'}}(t)=2t(t-1)(5{)}^{t-2}$

$($b$)P^{\text{'}\text{'}}(t)={10}^t(ln(10){)}^2$

$($c$)P^{\text{'}\text{'}}(t)=2(5{)}^t\frac{1}{t}$

$($d$)P^{\text{'}\text{'}}(t)=2(ln(5){)}^2(5{)}^t$

c

b

d

a