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
Tresset [83]
3 years ago
5

Find the derivative for the function.

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

The rule for deriving a multiplication is

(f(x)\cdot g(x))' = f'(x)g(x)+f(x)g'(x)

Also, we can forget about the factor 4 for now, since we have

(4f(x)\cdot g(x))' = 4(f'(x)g(x)+f(x)g'(x))

So, we will just multiply everything by 4 at the end. Our functions are

f(x) = (x^7-9)^{12},\quad g(x) = (4x+8)^{11}

For both derivatives we will use the rule

(f(x)^n)' = n\cdot f(x)^{n-1}\cdot f'(x)

So, we have

f'(x) = 12\cdot(x^7-9)^{11}\cdot 7x^6,\quad g'(x) = 11\cdot(4x+8)^{10}\cdot 4

We can simplify those expression a little bit:

f'(x) = 84x^6(x^7-9)^{11},\quad g'(x) = 44(4x+8)^{10}

The formula f'(x)g(x)+f(x)g'(x) thus becomes

84x^6(x^7-9)^{11}\cdot (4x+8)^{11} + (x^7-9)^{12} \cdot 44(4x+8)^{10}

And so the final answer is

4(84x^6(x^7-9)^{11}\cdot (4x+8)^{11} + (x^7-9)^{12} \cdot 44(4x+8)^{10})

If you simplify this expression by factoring common terms, you will see that the correct answer is the first one.

You might be interested in
Save $300 a month or $3,600 per year for their children education ​
astra-53 [7]
This is supposed to be a question…????
7 0
3 years ago
Mr. Burrows has cups of flour.
Alexeev081 [22]

The question is incomplete :

However, assume Number of cups of flower 10

Number of flour cups for each pie 1/4

Answer:

8

Step-by-step explanation:

Number of cups of flower = 10

Number of flower cups per crust pie = 1/4 cups

Since, the cups of flower was divided equally into to 5 containers;

Number of flower cups per container :

10 / 5 = 2

Each container has 2 cups of flower each.

1 container was used in making crust pie :

The number of crust pies made is:

Cups of flower in container / cups of flower per crust pie

= 2 ÷ 1/4

= 2 * 4 /1

= 8 crust pies

8 0
3 years ago
PLEASE ONLY ANSWER IF YOU'RE GOING TO GIVE A LEGITIMATE ANSWER AND NOT USE ME AS POINTS
VLD [36.1K]
5/15 and -1/3 because 5 dived by 5 =1 and 15 dived by 5=3 so it’d be positive and negative 1/3
7 0
3 years ago
How can we simplify the expression -(1-5n)-7n
dsp73
-(1-5n)-7n \\ \\ -1 + 5n - 7n \\ \\ -1 - 2n \\ \\ Answer: \fbox {-1 - 2n}
5 0
3 years ago
Help, please! f(x)=x^2 what is g(x)?
Cloud [144]

Answer:

B

Step-by-step explanation:

If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.

Hope this helps!!

4 0
3 years ago
Read 2 more answers
Other questions:
  • the length of a rectangular photo frame is 6 in. more than twice its width. its area is 108 in. find the length of the photo fra
    11·1 answer
  • A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a
    10·1 answer
  • A train covers 168 miles at a speed of 42 mph. How much time dod it take?
    5·1 answer
  • A farm had an area of 35 mi 2 . the farm is 7 miles wide. how long is th farm?
    9·1 answer
  • The sum of two consecutive multiples of 9 is 63 .Find these multiples​
    8·1 answer
  • A friend is building a dog pen with an area of 150 square feet. Each side must be at least 5 feet long.
    13·1 answer
  • Is (the number in the photo) rational or irrational?
    14·1 answer
  • Your class collected money to buy turkeys and hams for
    8·1 answer
  • Im so confused ples help ;-;
    11·2 answers
  • Express 60 as the product of prime factors in ascending order in <br> index form
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!