135k views
0 votes
Assume that x = x(t) and y = y(t). Let y = x + 4 and dx/dt = 2 when x = 3. Find dy/dt when x = 3.

1 Answer

6 votes

Final answer:

To find dy/dt, we need to differentiate y with respect to t using the chain rule. Since y = x + 4, we can substitute this expression into y. Given that dx/dt = 2 when x = 3, we can conclude that dy/dt = 2 when x = 3.

Step-by-step explanation:

To find dy/dt, we need to differentiate y with respect to t using the chain rule. Since y = x + 4, we can substitute this expression into y. So, y = x + 4 = x(t) + 4. Now, differentiating both sides with respect to t gives dy/dt = dx/dt. Given that dx/dt = 2 when x = 3, we can conclude that dy/dt = 2 when x = 3.

User Agjmills
by
7.4k points

Related questions

asked Oct 2, 2024 113k views
Dmitryro asked Oct 2, 2024
by Dmitryro
7.4k points
1 answer
1 vote
113k views
1 answer
4 votes
58.4k views