Find derivative of composite function

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Homework Statement


[/B]
Consider the equation z=6x8ln(x) where z and x are functions of t.If dx/dt=5 when x=e calculate dz/dt.

Homework Equations


[/B]
Do I have to rearrange the equation to do this?


The Attempt at a Solution

 

Answers and Replies

  • #2
haruspex
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Not sure what the 6x8 means. Is it 6 times 8? 6x8?
 
  • #3
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Not sure what the 6x8 means. Is it 6 times 8? 6x8?

its 6x^8
 
  • #4
Ray Vickson
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Homework Statement


[/B]
Consider the equation z=6x8ln(x) where z and x are functions of t.If dx/dt=5 when x=e calculate dz/dt.

Homework Equations


[/B]
Do I have to rearrange the equation to do this?


The Attempt at a Solution


It is for problems like this one that the chain rule was invented.
 
  • #5
epenguin
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At some point you will have to work out what (ln e) is. Possibly go back to basics and remind yourself what ln aka loge means.
 
Last edited:

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