Question

y = x² + 3, find dy/dt, given that dx/dt = 2 when x = 1

Answer 1

Here we wish to differentiate with respect to t. Do you know how?

Answer 2

You can take the derivative implicitly...

Answer 3

Just differentiate it with respect to t...

Answer 4

\[\frac{dy}{dt} = 2x\frac{dx}{dt}\]

Now what?

Answer 5

Perfect!!

Answer 6

Now what?

Answer 7

Now substitute the values you are given with...

Answer 8

Please let her answer @waterineyes ?

Answer 9

Carry on @calculusfunctions

Answer 10

substitute? how? we only know that dx/dt = 2 WHEN x = 1

Answer 11

beside i dont find how i can use this information

Answer 12

Correct so in your last step, substitute these values and find dy/dt.

Answer 13

wait so question are asking me to find dy/dt when x = 1?

Answer 14

Yes!!

Answer 15

oh well it makes sense. thanks.

Answer 16

So then dy/dt = ? what is your answer?

Answer 17

\[\Huge \frac{dy}{dt} = 4\]

Answer 18

Beautiful!!

Answer 19

lol thanks