Please do the even numbers like 8, 10, 12, 14, 16, 18, 20, 22, 24.....etc. Please do it on paper bc it's really hard to understand when is written on here. Also, please show step by step how you got that answer even if there's a simplifying part. I'm gonna be attaching some examples.

Instructions: Differentiate

You can use the chain rule or product rule

7. y = VI - 3x 8. y = Vx2+ 1 2 9. f ( x ) = : 3x2 + 1' two ways 3 10. f(x) = two ways V2x + 4 11. s(t) = tv 2t + 3 12. s( t) = 12 3/3t + 4 13. s(t) = sin TT TT 6 3 14. s(t) = cos(3t - 4) 15. g(x) = (1+x3)3 - (1 +x3)4 16. y = V1 + sec x 17. y = V1 - csc x 18. g(x) = Vx + (x - 3)3 19. g(x) = V2x - 1 + (4-x)2 20. y = x2 cos x - 2x sin x - 2 cot x 21. y = x sin x + 5x cos x + 4 sec x 22. f(x) - V2x + 3(x2 + 3x + 1) 23. y = Vx2 + x3(2x2 + 3x + 5) 24. y = csc(1/x) 25. S(t) = cos Vt 26. f(t) = sin Vt27. f(x) = (3x + 2) V2x + 5 28. f(x) = (5x - 2) V3x + 4 29. y = sin(cos x) 30. y = tan(sin x) 31. y = Vcos 4t ( x 2 + 3 ) 4 32. f(x) = (x3 - 1)5 (x3 + 2x2+ 3x - 1)3 33. f(x) = (2x4 + 1) 2 2x + 3 34. y 3 3x - 53 ) y = ( 1 - 2 x ) 5 5 he Chain hole F = 1 - 2 X ( ) = - 2 K = 55 y) = 55 [ 1- 2x] ? (-2) st Y= - 10 [ 1 - 2 x 7541 5 ) y = sec 2 x -110 ( 1- 2x ] Rewrite y = (secx ) 2 Rule 5 f = secx J f t - secxtanx ( 1 ) 2 - 1 1 = 2 y = 2 [ secx ] ' ( secxtanx ) 7 / y= 1 - 3 x =( 1- 3) /2 5 F = 1 - 3 x F ) = - 3 19 = 1/2 dy = 4 [1 - 3 x ]12-' ( -3) dx = = 3 ( 1 - 3 * ) /2 " ) f ( x ) - 2 Two ways 3 x 2 + 1 chain Rule mewrite : 2 (3 x2 + 7 ) f = 3 x 2 + 1 ( ) = 3 ( 2 ) x = 6x 19 = - 1 1-1 3 - 2 2 . - 1. 6 - 12 F ) ( x ) = 2 ( - 1) ( 3 x2 +1) (6 x) = 12x (3 * 2 + 4 ) - 2 morningNo Date ( = 1 / 2 17 ) 5 ( + ) = t 1 2 + + 3 = + ( 2+ + 3) 1/2 function F = + ( ) = 1 / 1-1 a variable R Q = (2+ +3)12 G" = 3 (at+3)12 (2) = 9 m = 2+ +3 m 1 = 2 n =1( at + 3 ) 72 = 0 ' ) 2 = f g + fg . S' ( T ) = 1 ( 2 t + 3 ) 3+ t ( at+ 3) -1/2 13 ) s ( t ) = sin ( 1 7 + 1) 6 3 U = 1I t + 11 10 0' = 11 6 3 6 d = ( cos ( 1 + + 1 ) I) 17) y = v 1 - CSCx Rewrite = ( 1- (sex ) 1/2 4th Rule D f = 1 - ( sex) F ) = + es(xcotx -1 - y' = = [1-(scx ] csex cotxNo Date * 10 ) g ( x ) = 3/2 x - 1 + ( 4 x x 2 ) = (2x - 1)1/3 + ( 41 - X ) 2 F = 2 x + + f 1 2 1 9 = 4 - x n = 2 15 = 3 27 simplify 9 1 = 4 ( 2 x - 1) - 21 3 ( 2 ) + 2 ( 4 + X ) 1 - 1) Product R product Q * all y = x3 sin x + 5 x Cos * + 4 / sec x * 3isa F G function dy x 3 x ' sinx + x 3 cosx + 5 cos* + 5x(- sinx )+ 4 seextank BI31 x 23 ) 4 = V x 2 + * 3 (*2x? + 3x + 5 ) Product Rule = ( x2 7 x 3)"/2 1 ( 2 x 2 + 3 x + 5 ) f = ( x 2 + x 3 ) 1 / 2 F 1 = = ( x 2 4 x 3 ) 12 ( 2 * + 3 * 2) ( = ( 2 *2 + 3 x + 5 ) () = 2 ( 2 x ' +3 G ! = 4 X + 3 yo = 2 ( * ? + x 3 ) " ( 2 x +3x ? ) ( 2 x " + 3 * +5 ) + ( x 2* * 3 ) 12 (14 x + 3)