You are here:

Advertisement

find g'(t) if g(t) = te(e-1) [it reads t to the exponent of e times e to the exponent -1

Was thinking that e is a constant so the power rule might apply and would end up with -e(ln(te-1)).

Questioner:JJ

Country:Colorado, United States

Category:Calculus

Private:No

Subject:Power rule

Question:

find g'(t) if g(t) = te(e-1) [it reads t to the exponent of e times e to the exponent -1

Was thinking that e is a constant so the power rule might apply and would end up with -e(ln(te-1)).

-----------------------------------------

If you mean:

g(t) = t^e e^-1,

that is

t^e

g(t) = -----

e

Now the 'e' on top is an exponent for base t, the variable, so yes, the power rule would apply.

But the 'e' on the bottom is simply a constant coefficient.

So you should get:

e t^(e-1)

g'(t) = ---------

e

= t^(e-1) or t^e/t, if you like.

Calculus

Answers by Expert:

All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.**Education/Credentials**

(See above.)