I need help on 8 10 and 11

B.8 Which of the following is the derivative of f(x) = ev2x? e ( VZx ) (a) f'(x) = el/V2x e ( 2x ) z 2 . 2 ( b ) f' ( 2 ) = ev2x . ( 2 x ) 2 e VZx (c) f' (2) = - =ev2x 2V/2x 1 (d) f'(x) = seV2x 2 . Jx ( 2 ) . ( 2 x ) 2 V2x B.9 Which of the following is the derivative of f(x) = In(x3 ex)? (a) f'(x) = In(3x2ex + 23ex) f'(x ) = = ( In (xsex ) ) ( b) f' (20 ) = - 3 - 1 X3 ex (3x2 ex + x3 ex ( c) f' ( x ) = - . = 3 ( d) f' (x) = = B.10 Which of the following is the derivative of f(x) = (x2 - 1) 3 (4x3 + 2x2) 6? 1 5 and (a) f'(2) = (202 - 1)3(4203 + 22 2) 61 620 36x + 12, 2 2 - 1 2x2 + 20 (b) f'(z) = (22) (12ac2 + 4ac) [- 6x 36x + 12 20 2 + 22 2 + x ON (c) f'(20) = (202 - 1)3(4203 + 2202) 61 220 6x + 2 ac 2 - 1 + 202 + 20 (d) f' (2) = 18(202 - 1)2(4203 + 2202) 5 B.11 Which of the following is an antiderivative of f(x) = + 5e5x? (a) F(x) = -22+5e5x (b) F(2 ) = - + 5 (c) F(x) = - In(2x) + e5x (d) F(x) = -21n(x)+e5x