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
I report if you answer randomly.
sasho [114]

Answer:

C. n=23; p^=0.5

Step-by-step explanation:

Normal distribution is symmetrical about the mean.

So, p should be close to ½

5 0
3 years ago
What is the measure of
Andreas93 [3]

Answer:

43

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The Factors shot 5 rolls of film with 36 exposures on each roll. It cost $14.85 to process each roll. How much did it cost for e
kondor19780726 [428]
Your answer is .41, hope this helps
6 0
3 years ago
Read 2 more answers
How to graph y>1/3x+5
oksano4ka [1.4K]
Slope is:1/3
The y-intercept is (y-intercept:
(0,5)

6 0
2 years ago
On a cold February morning, the radiator fluid in Stanley’s car is -18 degrees When the engine is running, the temperature goes
Vitek1552 [10]

To figure this out you first find the difference between -18 and 60, which is 78 you then just divide, 78/4.5 which is approximately 17.55 mins or 17.6 rounded.

7 0
3 years ago
Other questions:
  • write a division problem involving the the division of a decimal by a whole number with an estimated quotient of 7. Plz help!!!
    12·1 answer
  • Is this right? I’m unsure if I’m doing this correctly. Thanks
    15·2 answers
  • Which of the following is the equation of a line perpendicular to the line y=-1x+1/3
    6·1 answer
  • If A and B are nonzero integers with the same signs is the product negative or postitive
    6·1 answer
  • #1 Combine like terms (AlgebraTiles) 3y2+3y2 #2 -3x2-3x2 #3 X2-3x2
    10·1 answer
  • Determine the distance between two points p(3,4) q(4,5)
    9·1 answer
  • If AB = 3, AD = 5, and DE = 6, what is the length of BC?<br> BC II DE
    13·2 answers
  • Simplify the following expression when x=14 y=10 z=6 .<br><br><br><br> 3x+3y divided by z
    5·1 answer
  • What is the median. mode. &amp; mean? ty!
    15·2 answers
  • Benjamin designed the bathroom tiles in his home using the tile shown.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!