Find derivative of composite function

[53Mark53]

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

 

[haruspex]

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

 

[53Mark53]

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

its 6x^8

 

[Ray Vickson]

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]

At some point you will have to work out what (ln e) is. Possibly go back to basics and remind yourself what ln aka log_e means.