Differentiable functions

[hiramoby]

Assume that x and y are differentiable functions of t. A point is moving along the graph of the equation

At what rate is y changing when

and is changing at a rate of 3 units/sec?

Answer

	a.	144 units/sec
	b.	41 units/sec
	c.	51 units/sec
	d.	123 units/sec
	e.	27 units/sec

 

[pka]

Assume that x and y are differentiable functions of t. A point is moving along the graph of the equation

At what rate is y changing when

and is changing at a rate of 3 units/sec?

Answer

	a.	144 units/sec
	b.	41 units/sec
	c.	51 units/sec
	d.	123 units/sec
	e.	27 units/sec

\(\displaystyle \dfrac{dy}{dt}=6x\dfrac{dx}{dt}-7\dfrac{dx}{dt}\)

\(\displaystyle x=8~\&~\dfrac{dx}{dt}=3\)