Question

Q (t)= c.k elevado a t

Answer 1

$\sf\: Q(t) = c \cdot k {}^{t} \\ \\\sf\: Q {}^{ \prime}(t) = \frac{d}{dt} \Big(ck {}^{t} \Big) \\ \\ \sf\: Q {}^{ \prime} (t) = c \cdot \frac{d}{dt} \Big(k {}^{t} \Big) \\ \\ \sf\: Q {}^{ \prime} (t) = c \cdot ln(k) \cdot k {}^{t} \\ \\{\color{Blue} \boxed{\sf\ Q {}^{ \prime} (t) = ck {}^{t} \cdot ln(k)}}$

Att: Nerd1990