SOLUTION: (Quotient Rule)
Note that neither f (v) nor f ′(v) exists where the denominator equals zero,
namely, where 1 − 2v 2 = 0 or where v equals .
Example 8 __
If
SOLUTION:
Example 9 __
If y = tan ( 2x 2 + 1 ), find y′.
SOLUTION: y′ = 4 x sec^2 ( 2x 2 + 1 ).
Example 10 __
If x = cos^3 (1 − 3θ), find .
SOLUTION:
= 9 cos^2 (1 − 3θ) sin (1 − 3θ).Example 11 __
If y = e(sin x) + 1 , find .
SOLUTION: = cos x · e(sin x) + 1.