Explain the step by step process to get the final answer Problem #2: Differentiate f(x) = [(3x* – 5)(2x3 + 9x – 6)]° and solve f(2). Solution: Reason: + 'Lx) - [(3x" - 5) ( 2x* + 9x -6 3-1 : 3C ( 3x" - 5) (ax3 + 9x - 6) 3* CL 3x" -5) ( a»3 + 9x -6) I 3CL 3x" - 6 )2+ 9x - 6) ] c(3x" - 5) d 4x -6) d ( 3x" -5) ) dx dx 3CL 3x" - 5)2+ 9 x -6)* C3 x" - 5) L6x* + 9) + 9x - 6) LIax3) f'cx) 3 CL 3x" -6)2x 30 - 45 3 put : 3 ( (3L2)" - 5)cac+ 9621 -6) 3* c 42cas' + 135 ca)" - 72ca' - 30ca) - 453 3C (43)( 28) ]C 2688 + D16 O - 576 - 120 - 453 3( 1204) ( 4107 ) 43488 4 8 4107 f'ca) = 178 60718736
Explain the step by step process to get the final answer Problem #2: Differentiate f(x) = [(3x* – 5)(2x3 + 9x – 6)]° and solve f(2). Solution: Reason: + 'Lx) - [(3x" - 5) ( 2x* + 9x -6 3-1 : 3C ( 3x" - 5) (ax3 + 9x - 6) 3* CL 3x" -5) ( a»3 + 9x -6) I 3CL 3x" - 6 )2+ 9x - 6) ] c(3x" - 5) d 4x -6) d ( 3x" -5) ) dx dx 3CL 3x" - 5)2+ 9 x -6)* C3 x" - 5) L6x* + 9) + 9x - 6) LIax3) f'cx) 3 CL 3x" -6)2x 30 - 45 3 put : 3 ( (3L2)" - 5)cac+ 9621 -6) 3* c 42cas' + 135 ca)" - 72ca' - 30ca) - 453 3C (43)( 28) ]C 2688 + D16 O - 576 - 120 - 453 3( 1204) ( 4107 ) 43488 4 8 4107 f'ca) = 178 60718736
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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![Explain the step by step process to get the final answer
Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)]° and solve f(2).
Solution:
Reason:
+'(x) =
- [(3x" - 5) ( 2 x³ + 9x - 6
3-1
= 3 C( 3x" - 5) ( ax³ + 9× - 6) ]*
C( 3x4 -5) ( a x³ + 9x - 6) I
3C( 3x" - 5 ) + 9x - 6) j* C (3 x" - 5) d
9x -6)
4x -6) d
( 3x" -5) ]
dx
*P
3CL 3x" - 5) + 9 x - 6) ]* c <3 x" - 5 ) l6x* + 9)
Lax3 + 9x -6) L12x3)
f'<x)
3 CL 3x" - 5)
135 x
30 - 45 3
put
- 3 ( (362)" - 5)cac+ 9621 -6) 3* [ 4acas' + 135 ca1" - 72c3)³ - 30ca)' - 453
3C (43)( 28) ]° C 2688 + 516O - 576 - 120 -453
3(1204)°( 4107)
니3488 니 8
4107
f'c2) = 17860718736](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff98ad4f-afb1-4b48-a96e-18db8adb8eca%2Fbb30091b-444f-466f-a0a8-2cb512f148eb%2Fh4pplc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Explain the step by step process to get the final answer
Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)]° and solve f(2).
Solution:
Reason:
+'(x) =
- [(3x" - 5) ( 2 x³ + 9x - 6
3-1
= 3 C( 3x" - 5) ( ax³ + 9× - 6) ]*
C( 3x4 -5) ( a x³ + 9x - 6) I
3C( 3x" - 5 ) + 9x - 6) j* C (3 x" - 5) d
9x -6)
4x -6) d
( 3x" -5) ]
dx
*P
3CL 3x" - 5) + 9 x - 6) ]* c <3 x" - 5 ) l6x* + 9)
Lax3 + 9x -6) L12x3)
f'<x)
3 CL 3x" - 5)
135 x
30 - 45 3
put
- 3 ( (362)" - 5)cac+ 9621 -6) 3* [ 4acas' + 135 ca1" - 72c3)³ - 30ca)' - 453
3C (43)( 28) ]° C 2688 + 516O - 576 - 120 -453
3(1204)°( 4107)
니3488 니 8
4107
f'c2) = 17860718736
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