The discussion revolves around differentiating the function y = t5-e, where e is treated as a constant. Participants are exploring the application of the power rule in this context.
Some participants have provided affirmations regarding the differentiation approach, while one participant raises concerns about clarity in notation and the expression of the derivative. There seems to be a productive exploration of the differentiation process, though not all aspects have been fully resolved.
There is a noted confusion regarding notation and clarity in expressing the differentiation process, particularly with the use of the variable u in relation to y and t.
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.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?