Evaluating derivatives? ?Evaluate and simplify the following derivatives. d ?1 ?x dx(tan (e ) at x=0

Solution 35RE Step1: d 1 x Given dx(tan (e ) at x=0 d 1 x First we find dx(tan (e ) We know that d[tan (x)] = 1 dx 1+x2 d (e ) = ae x dx Step 2: d 1 x 1 d x dx(tan (e ))= 1+(e )2dx(e ) = 12x(e )x (e ) = 1+e2x