Show all work and include appropriate explanations when space is provided. Instructions. answers unaccompanied by work may not receive full credit. The last page contains some useful identities: (30pts) find the indicated derivatives. No need to simplify. (a) (5pts) dx(cosh (ex)) (b) (5pts) dx(ln 3 x) (c) (5pts) dx(2x2+x) (d) (5pts) dx(tan 1 ( x2 1)) (e) (5pts) dx((3x)(2x)) 1: (5pts) find a formula for f 1(x) if. Note: f 1(x) is the inverse of f (x). It is not equal to f (x) = 3 2x + 8. 1 f (x) : (10pts) evaluate the following: (a) sin 1( 3. 2 ) = (b) tan 1( 1) = (c) cos 1 (cos ( . 2 )) = (d) sin 1 (sin ( 3 . 4 )) = (e) sin (cos 1 ( 4. 5 )) : (10pts) there are initially 10 bacteria in a petri dish. Let p (t) denote the population of the bacteria after t hours.
