Differentiate and simplify: 1 . f ( x ) = 4e2x+ 1 + e-x 2. f ( x) = 9x5 - 2 3. f ( x) = In V1 - 3x2 4. f ( x) = 2xe - 3x x3 + 3x + 2 5 . f ( x ) = : x2 - 1 Differentiate and do NOT simplify: 3ex 1. f ( x) = 1 + ex 2. f (x) = 4e3x + 43x + 4x3+ 4 3. f (x) = 5x3 In x 4. f ( x) = Vx2 ( 4x - 3) 5 f ( x ) = - - 3x 5 . V25+ x2 Differentiate TWO Ways: 1. f ( x) = 3x2 ( 4x5 - x3) a) Use the product rule b) Do not use the product rule 2. f ( x) = (3x - 5) 2 a) Use the chain rule b) Do not use the chain rule 3. f ( x) = ( x - 4) (x2 + 3x) a) Use the product rule b) Do not use the product rule 4. f ( x) = 4x3 - 12x2 - 8x 2x