Assume that x and y are differentiable functions of t.Given ,find when and
A)
B)
C)
D)
E)

Question

​Assume that x and y are differentiable functions of t.Given  ,find  when  and  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

We can use the chain rule to find the derivative of y with respect to t:

11ea8970_69a4_5038_861b_7cb13d45a40e_TB1301_11

And then use the product rule to find the derivative of the given function:

11ea8970_69a4_5039_861b_b08399576006_TB1301_11

Finally, we can substitute the given values and simplify:

11ea8970_69a4_9e5a_861b_a151ec849df3_TB1301_11

Therefore, the answer is C.

​Assume That X and Y Are Differentiable Functions of T