A bit of help getting started please

[SpruceMoose]

Hi, would somebody please be able to help me to get started with this problem.

Any advice would be appreciated as I do not know where to start:

The length of a metal rod L metres at temperature 0 °C is given by:
L=0.0000080^2 - 0.00070 + 5

Using the concept of derivative, find the rate of change of length with respect to temperature.

Thanks

 

[stapel]

Hi, would somebody please be able to help me to get started with this problem.

Any advice would be appreciated as I do not know where to start:

The length of a metal rod L metres at temperature 0 °C is given by:
\(\displaystyle L\, =\, 0.000\,008\, \theta^2\, -\, 0.000\, 7\,\theta\, +\, 5\)

Using the concept of derivative, find the rate of change of length with respect to temperature.

Try using the response posted here; namely:

A good place to start would probably be with the stated starting point: "the concept of derivative". You have learned that the derivative of a function is related to the rate of change of that function. How then might the derivative of L with respect to temperature relate to finding the rate of change in L with respect to temperature? :wink:

 

[SpruceMoose]

Would I be right in thinking the following (using the Chain Rule) as a starting point to this problem?

L being length and t being temperature

dL/dt * dt/dx

 

[stapel]

Would I be right in thinking the following (using the Chain Rule) as a starting point to this problem?

L being length and t being temperature

dL/dt * dt/dx

Would it be correct to assume that you are using "t" to stand in for "theta" (being the original variable from the exercise)? Either way, how are you relating t to x, especially since there is no "x" in the original exercise? How does the Chain Rule relate to your book's stipulation that you use "the concept of derivative"?

Please be specific. Thank you!