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
zhenek [66]
3 years ago
6

Find the derivative of the function by using the Product Rule. Simplify your answer. f(x) = (x - 3)(x + 3)

Mathematics
2 answers:
Minchanka [31]3 years ago
8 0

Answer:

f'(x)=2x

Step-by-step explanation:

To Find  :Find the derivative of the function by using the Product Rule. Simplify your answer. f(x) = (x - 3)(x + 3)

Solution :

f(x) = (x - 3)(x + 3)

We will use chain rule of product

Formula : uv=u \times v' +v \tyimes u'

=(x-3) \times 1+(x+3) \times 1

=(x-3)+(x+3)

=2x

So, f'(x)=2x

Hence the derivative of the function by using the Product Rule is 2x

Morgarella [4.7K]3 years ago
3 0

Answer:

f'(x)=2x

Step-by-step explanation:

Given : Function f(x)=(x-3)(x+3)

To find : The derivative of the function by using the Product Rule ?

Solution :

The product rule of derivative is

\frac{d}{dx}(u\cdot v)=uv'+vu'

Here, u=x-3 and v=x+3

\frac{d}{dx}((x-3)\cdot (x+3))=(x-3)\frac{d}{dx}(x+3)+(x+3)\frac{d}{dx}(x-3)

\frac{d}{dx}((x-3)\cdot (x+3))=(x-3)1+(x+3)1

\frac{d}{dx}((x-3)\cdot (x+3))=x-3+x+3

\frac{d}{dx}((x-3)\cdot (x+3))=2x

Therefore, f'(x)=2x

You might be interested in
563 pints equals how many cups <br><br> Answer:
Firdavs [7]

Answer:

1126 cups

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

4 0
3 years ago
Read 2 more answers
How is a topic different from a theme?
jek_recluse [69]
Hi!

A topic is just a general thing you discuss, with no true moral ending you take away from it. A theme, on the other hand, wants to communicate a life lesson.

Hopefully, this helps! =)
8 0
3 years ago
Read 2 more answers
Ehelp help help help help
IrinaVladis [17]

Answer:

The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.

Step-by-step explanation:

5 0
2 years ago
Question 5 (1 point)
HACTEHA [7]

Answer:

B. \frac{d + 13}{d + 4}

Hope this Helps :)

3 0
3 years ago
Nga
andrezito [222]

Answer:

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • My brother needs help with this question<br><br> What Shape has 12 sides and 12 angles?
    5·2 answers
  • Solve the inequality. 4 + 9x &gt; 8 − 3x
    5·2 answers
  • A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays
    5·2 answers
  • A family is ordering grass sod for a portion of their backyard as shown in the diagram. How many square yards of grass sod do th
    11·2 answers
  • What is 30 percent of 20 in fraction form
    9·2 answers
  • Please help!! I’m confused :(
    7·2 answers
  • Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S
    10·1 answer
  • Find the slope (m) of the line using the origin, (0,0) and the point (2,8)
    13·1 answer
  • Math help please help thanks
    9·1 answer
  • Really would appreciate some help thank u x
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!