Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Please do the even numbers like 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32.....etc . Please do
Please do the even numbers like 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32.....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 too.
Instructions: Find the second derivative
You can use the chain rule or product rule
Find the second derivative. 1. y = 3x + 5 2. y = -4x + 7 -3 1 3. y -2x + 2 4. y= 3x - 4 5. y = V2x + 1 6. f (x) = (3x + 2)-3 7. f(x) = (4 - 3x) -4 8. y = Vx - 1 9. y = Vx + 1 10. S(x) = (3x + 2) 10 11. S(x) = (2x + 9)16 12. g(x) = tan(2x) 13. g(x) = sec(3x + 1) 14. S(x) = 13x2 + 2x + 7 - Cscx 15. S(x) = sec(2x + 3) + 4x2 + 3x- 7 16. g(x) = mx + b; m, b are constants 17. g(x) = ax2 + bx + c; a, b, c are constants 18. y = V2x + 4 19. y = V(x2 + 1)3 20. y = 13x3.2 + 12x1.2 - 5x-0.25 21. S(x) = (4x + 3) cos x 22. s(t) = sin(at); a is a constant 23. s(t) = cos(at + b); a, b are constants 24. y = x5/2 + x3/2 - x1/2 25. y = V12 + 3 + V312 + 1 7 26. y = 1 tan Tit + sec art 27. For y = x4, find day/dx4. 28. For y = x5, find d'y/ dx4. 29. For y = x6 - x3 + 2x, find d'y/dx5. 30. For y = x7 - 8x2 + 2, find dey/ dx6.32. For y = xk, find d'y/ dx5. d' v Date * 10 ) g( x ) = 2/2 x - 1 + ( 4 * * 2 ) = (2x - 1)/3 + ( 41 x X ) 2 Fax+ if1 2 + 9 = 4 - x n = 2 15 = 3 2 simplify 9 1 = 4 ( 2 x - 1) 21 3 ( 2 ) +2 ( L t x ) 1- 1) Product R product . * ally = x3 sin x + 5 x cos x + 4/ sec x 13 isa F G function dy 3 x 'sinx + x 3 cos * + 5cos* + 5x(- sinx)+ 4seextank 131 x 23 ) y = V x 2 + * 3 (x3 2 x? + 3 x + 5 ) Product Rule = ( x ? + x 3 ) "/ 2 ( 2 * 2 + 3 x + 5 ) f = ( * 2 + x 3 ) 1 / 2 F 1 = 2 ( * ? * * 3 ) 1 2 ( 2 * + 3 * 2 ) ( = (2 x3 + 3x + 5 ) () = 2 ( 2 )x' +3 G ' = 4 X + 3 G y. : 2 (12 + 7 3 ) " ( 2 x+3x " ) ( 2x" + 3 * +5 ) + ( x 24 x3 ) "? (4 x + 3)No Dabo Pg # 153 Find the and derivative 1 ) y = 3 x 15 y = 3 y " = O 3 ) y = - 3 2 x + 2 -3 (2*+ 2 ) " 2K12 y' = - 3 ( - 1) (2 x +2) 2 ( 2 ) = -2 6 ( 2 x+2) - 22 1 1 = 6 ( - 2) ( 2 x + 2)3 (0) 5 ) y = 3 / 2 x + 1 ( 2 x + 1 ) 1/3 y' = = ( 2x+ 1) 2 13 ( 2 ) 1 = 3 2 (ax +1 ) - 2/3 youcan 41 ) = 2 ( - 2) ( 2x +1) 3/3 (2 ) simplify 13 ) g ( x ) = sec 1 3 x + 1) g' (x )= sec ( 3 x +1)tan ( 3x +1)(3) = 3 sect 3 x + 1 ten ( 3 x+1) f GStep by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started