2 2 Equal derivatives Verify that the functions f(x) = tan xand g(x) = sec x have the same derivative. What can you say about the diffe? rence ? ?f ?? ? Explain.

Solution 35AE Step 1 In this problem we have to verify whether the functions f(x) = tan xand g(x) = sec x 2 have same derivative. 2 2 Given f(x) = tan xand g(x) = sec x f () = 2 tan x sec xand g(x) = 2sc x (sec x tan x) = 2tan x sec x 2 That is f (x) = g(x) Hence f(x)and g(x)have same derivative.