[Solution] Let f(x)= sin (e^x), f : R → R. Prove that there is a function g : R → R such that g ’ (x) = f(x), for each x Є R. Prove that any such function


Question: Let \(f\left( x \right)=\sin \left( {{e}^{x}} \right)\), f : R → R.

  1. Prove that there is a function g : R → R such that g (x) = f(x), for each x Є R.
  2. Prove that any such function g is continuous.
  3. Prove that, if h : R →R is another such function, then h differs from g by a constant.
  4. Prove that any such function is monotone on (-∞; 0], but not on [0;∞).

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

log in to your account

Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in