# Find derivative of composite function

## Homework Statement

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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

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Do I have to rearrange the equation to do this?

## Answers and Replies

haruspex
Homework Helper
Gold Member
Not sure what the 6x8 means. Is it 6 times 8? 6x8?

Not sure what the 6x8 means. Is it 6 times 8? 6x8?

its 6x^8

Ray Vickson
Homework Helper
Dearly Missed

## 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.

epenguin
Homework Helper
Gold Member
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.

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