Can you please help me with my calculus test corrections? Please ignore my work and provide a clear solution to each of the questions. Thank you so much!

a slope of 4. 4.) Show that the graph of the function f (x) = x3 + 2x2 + 6x does not have a tangent line with 3 x + 4 2 + 6 - 4 - 4 #147-413)(6 - 6 2 = - 6 36 - 6) + 4 (-6) +6: 2 3 3( 36) - 24 +.6 74 2 2 - 6 NIN - 4 +1 16- 72 C 5 . ) If f ( 3 ) = 3, 8 (3 ) = -6, f' ( 3) = 1 and g'(3) = 2, find the following. a . ) f' ( f ( 3 ) ) b . ) ( 8 + 5 ) ( 3 ) 0 1.3 - 1 -1 3 . - 2 . - 3 2 + 16 - 6) - 26-6+3 = - 4+ 6- Find the derivative of each. 18 36 36 6.) y =6 2x2+5x-4 7 .) y = (3x2 - 5x+4)8 236 4 = 612x2+5x-4 . en6 . ( cosx ) Sinx To ery = 8en 3x-5x+4 (2 2 0 2 + 5 x- 4 ) 12 - Sinx en cosic . 4 x+ 5 8 - ( 6 x - 5 ) + Goolenice 2 1 2 x 2 + 5 x - 4 3 x2- 5x+4 .- Bin't Cces x 6 V 2x + 5 x - . In 6). Hac+ 5 - (3 2x 2 - 5 x+ 4) = sint 2 ( 12 x 2 + 5 x-4 ) ((osX ) cosCen(conoc ) . tsins, Cos