Question
derive e^3-t
Answers
GPT 3.5
To derive e^(3-t), we can use the chain rule.
Let u = 3-t. Then, the derivative of u with respect to t is: du/dt = -1.
Now, we can rewrite e^(3-t) as e^u. Using the chain rule, the derivative of e^(3-t) with respect to t is:
d/dt(e^(3-t)) = d/du(e^u) * du/dt
= e^u * -1
= -e^(3-t)
Therefore, the derivative of e^(3-t) with respect to t is -e^(3-t).
Let u = 3-t. Then, the derivative of u with respect to t is: du/dt = -1.
Now, we can rewrite e^(3-t) as e^u. Using the chain rule, the derivative of e^(3-t) with respect to t is:
d/dt(e^(3-t)) = d/du(e^u) * du/dt
= e^u * -1
= -e^(3-t)
Therefore, the derivative of e^(3-t) with respect to t is -e^(3-t).