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
VashaNatasha [74]
3 years ago
8

Find the derivative of f(x) = 9x + 5 at x = 7.

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0
The derivative of a variable raised to exponent of n, x^n is equal to the product of n and x raised to exponent of n-1.
                                   d(x^n) = (n)(x^n-1)
So, from the given
                                 d(9x + 5) = (1)(9x^1-0)  + 5(0)
                                                = 9
The given value of x is irrelevant to this item because the derivative does not contain any variable x. 
Inessa [10]3 years ago
7 0
<h2>Answer:</h2>

The derivative of f(x) = 9x + 5 at x = 7 is:

                  f'(7)=9

<h2>Step-by-step explanation:</h2>

The derivative of a function is the rate of change of the dependent variable i.e. y=f(x) with respect to the independent variable i.e. x.

The derivative of the function f(x) is given by:

f'(x)=\dfrac{df}{dx}

Now, we know that:

\dfrac{d}{dx}x=1\\\\\\and\\\\\\\dfrac{d}{dx}c=0

where c is a constant term.

Here we have the function f(x) as:

f(x)=9x+5

Hence,

\dfrac{d}{dx}f(x)=\dfrac{d}{dx}(9x)+\dfrac{d}{dx}5\\\\i.e.\\\\\dfrac{d}{dx}f(x)=9\dfrac{d}{dx}x+0\\\\\dfrac{d}{dx}f(x)=9

i.e.  f'(x)=9

Also, when x =7 we have:

f'(7)=9

You might be interested in
Which of the following are valid names for the given triangle? Check all that apply V ALOM BNLMZ C.PAMLZ DXZML WENZMO 72 FRAZMD​
crimeas [40]
The answer is C.pamlz dxzml
8 0
3 years ago
Pls help me with my homework
timofeeve [1]
Yes I worked it in my brain hahahahahah
4 0
2 years ago
PLEASE HELP ME ANSWER THIS!! THANK YOU
jeka94

Answer:

1.  There are 609 more fiction books than non-fiction books in the library

2. Cheryl had $900 initially

4 0
3 years ago
What is the fully factored form of the expression 16x^2 - 49y^2
podryga [215]

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

6 0
3 years ago
What are good ways to study math?
Ilia_Sergeevich [38]
Depends on what you're trying to study
3 0
3 years ago
Read 2 more answers
Other questions:
  • Use the continuous compound interest formula to find the indicated value. A=90,000; P=65,452; r=9.1%; t=? t=years (Do not round
    11·1 answer
  • What is the base area of Box 3?
    10·2 answers
  • Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he
    7·1 answer
  • What are the zeros of fx) =-8x+ 16? Yes
    5·2 answers
  • carlos drank 24ml of water during football practice in 6 hour. how many liters did he drink per hours on average ? ​
    6·1 answer
  • Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale
    14·1 answer
  • Need help on this one.<br> I JUST DONT WHAT TO DO IT
    14·2 answers
  • 17. Jing has $800 to deposit into two different savings accounts.
    15·1 answer
  • Help how would you do this?<br>-3x + 16 =1​
    11·1 answer
  • What is the value of x that makes the given equation true?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!