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
svp [43]
3 years ago
12

Use the definition of a derivative to find f’(x).

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

f'(x) = -\frac{9}{x^2}

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x)  = $\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $  \hspace{0.2cm}

        = $\lim_{h\to 0} \frac{\frac{9}{x+h}  - \frac{9}{x} }{h}  =  \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} =  \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)}  =  $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$

You might be interested in
A line passes through the point (10,-8) and has a slope of negative 3/2Write an equation in slope-intercept form for this line.
zhuklara [117]

Answer:

9383

Step-by-step explanation:

4 0
3 years ago
(pls help my teacher wants me to pass this!) which is the graph of this line segment after it is translated - 5 units along the
Kryger [21]

Answer:

3-th picture

Step-by-step explanation:

i think 3-th picture)

5 0
1 year ago
Read 2 more answers
X/16-1/4=1/2 solve for x
Alina [70]

x=12

x/16-1-4=1/2

multiply by both sides

x-4=8

move constant to the right side of and change its sign

x=8+4

add the numbers

x=12

4 0
3 years ago
Find the volume of the triangular prism
juin [17]

Answer:

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
PLZZZ HELPPPP!!!!
valentina_108 [34]
The answer is a
Explanation: I’m not too sure about it
3 0
2 years ago
Other questions:
  • Find the sum of the first 6 terms in the sequence -5 -25 -125 -625
    5·1 answer
  • Is 3/2 an allowable probability? Explain.
    10·1 answer
  • Two years ago Pete was three times as old as his cousin Claire. Two years before that, Pete was four times as old as Claire. In
    5·2 answers
  • LOOK AT THE IMAGE ABOVE!
    5·2 answers
  • What is the slope intercept form of 12x-5y=-44
    11·1 answer
  • What is the equivalent expression of 9+ a J plus 6J -1+ 2K
    12·1 answer
  • Plz help!<br> solve for t
    5·2 answers
  • Given the points (-7, 9) and (5, 5) find the slope.<br> m=
    5·1 answer
  • The Bear Lake in Idaho is 24 miles long. Suppose John starts cycling at one end at 20 mph and Ramona starts at the other end at
    6·1 answer
  • Answer asap pls no wrong answers pls
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!