1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zarrin [17]
3 years ago
15

Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.

Mathematics
1 answer:
julsineya [31]3 years ago
6 0

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}

Now, we distribute the expression of f(x) and find the derivative afterwards.

f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

You might be interested in
Find the missing measure.
eduard

Answer:

59

Step-by-step explanation:

(360-92-150)/2

= 118/2

= 59

Answered by GAUTHMATH

4 0
3 years ago
Six and forty-two ten-thousandths as a decimal
sergey [27]

Answer:

6.0042

Step-by-step explanation:

6 and forty-two ten-thousandths as a decimal.

mixed number : 6\frac{42}{10,000}

decimal : 6.0042

7 0
3 years ago
The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?
sweet [91]
8x4=32
32 divided by 2 = 16
the answer is 16 square feet

hope this helps :)
3 0
3 years ago
Read 2 more answers
14. Which of the following pairs of equation are equivalent
Bogdan [553]

Answer:

the second equatin

2x+(-6)=14 that give x=10 and the other 2x=14+6 gives x= 10 so this pair is equal

5 0
3 years ago
Clayton is shopping for a new shower. He is comparing the water usage of cach as he is shopping .
Jlenok [28]
What else ? Is that it ?
7 0
2 years ago
Other questions:
  • Given 4x+5y=2b and x+3y=b what is the value of 17y
    13·1 answer
  • What property is illustrated by this problem?
    8·2 answers
  • Erica treated her sister to lunch while visiting her in Lowell. Their lunch cost $60, and the sales tax in Lowell is 5%. If Eric
    7·1 answer
  • Solve Formula for b: A =1/2bh
    14·1 answer
  • yes was walking along the road at 5 mph and was 17 miles away from his destination. no was walking at 7 mph but was 22 miles awa
    12·1 answer
  • Help plz <br> 1/2 (3)(4 + 2) =
    12·2 answers
  • ASAP<br> -WILL MARK BRIANIST
    5·2 answers
  • The ratio of magazines to books in the library at Grady’s school is 2 to 9. which of these is an equivalent ratio?
    11·1 answer
  • Operación 1: (6+(4*12)/12-2)+5​
    14·1 answer
  • PLEASE HELP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!