Behavior of e constant in exponents

mathor345
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Homework Statement



differentiate

y = t^{5-e}

Homework Equations



Power rule

The Attempt at a Solution



u = (5 - e)

(u)t^{u - 1}

= (5 - e)t^{4-e}

Is this a correct usage? I'm not sure if there are any equations regarding this, but since e is a constant this should be correct right?
 
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Yes. That's correct for u being a constant.
 
mathor345 said:

Homework Statement



differentiate

y = t^{5-e}

Homework Equations



Power rule

The Attempt at a Solution



u = (5 - e)

(u)t^{u - 1}

= (5 - e)t^{4-e}

Is this a correct usage? I'm not sure if there are any equations regarding this, but since e is a constant this should be correct right?

Yeah, that'll work.
 
Thank you.
 
mathor345 said:

Homework Statement



differentiate

y = t^{5-e}

Homework Equations



Power rule

The Attempt at a Solution



u = (5 - e)

(u)t^{u - 1}

= (5 - e)t^{4-e}

Is this a correct usage? I'm not sure if there are any equations regarding this, but since e is a constant this should be correct right?
The mechanics are all right, but you haven't made it clear what you're doing, which is finding dy/dt. Your notation isn't helpful at all, with u mixed in with y and t.

This is how I would do it:

y = t5 - e
==> dy/dt = (5 - e)t5 - e - 1 = (5 - e)t4 - e
 
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