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
Brums [2.3K]
3 years ago
15

Find the derivative of f(x)=x+1/x-1 using first principal​

Mathematics
1 answer:
zepelin [54]3 years ago
5 0

f ' ( x ) = 1 ( x + 1 ) 2

 

Explanation:

differentiating from first principles

f ' ( x ) = lim h → 0

 

f ( x + h ) − f ( x ) h

f ' ( x ) = lim h → 0

 x + h x + h + 1 − x x + 1 h

the aim now is to eliminate h from the denominator

f ' ( x ) = lim h =0  

( x + h ) ( x + 1 )− x ( x + h + 1) h ( x + 1 ) ( x + h + 1 )

f ' ( x ) = lim h → 0

 x 2 + h x + x + h − x 2 − h x − x h ( x + 1 ) ( x+h + 1 )

f ' ( x ) = lim h → 0

 

h 1 h 1 ( x + 1 ) ( x + h +1 )

f ' ( x ) = 1 ( x + 1 ) 2

You might be interested in
What is the fraction that is halfway between 1/3 and 3/2
stellarik [79]

Answer:

11/12

Explanation:

1/3 + 3/2 = 11/6

11/6 x 1/2 (average is halfway) = 11/12

5 0
3 years ago
Read 2 more answers
Evaluate the formula V= Bh/3 for B = 15 in.2 and h = 28 in.
ad-work [718]
V = Bh/3
V = 15 x 28 / 3 
V =  420 / 3
V = 140 in^3
6 0
3 years ago
Read 2 more answers
A car traveled on the highway at 65 miles per hour for 45 minutes. What distance did the car travel?
daser333 [38]

i think its 52 miles.

the fraction of the time is 4/5 which is .8 so

65 * .8 = 52

i hope this helps :)

3 0
3 years ago
Hey What is -5t > 10
yanalaym [24]

Answer: 10 (ten) is an even number

following 9 and preceding 11

Step-by-step explanation:

3 0
3 years ago
Tamara and Amir shared a candy bar. Tamara ate two fifths. Amir ate two fifths. How much is left?
marin [14]

Answer:

1/5

Step-by-step explanation:

Both Amir and Tamara ate 2/5 each.

2/5 + 2/5 = 4/5

If 4/5 of the candy bar was eaten, 1/5 of the candy bar remains because

5/5 - 4/5 = 1/5

(Remember that 5/5 just equals one whole, representing the whole candy bar)

7 0
3 years ago
Other questions:
  • Wich of the following is the correct graph of solution to the inequality -8 >-5x+2>-38
    15·1 answer
  • Two Parallel lines are cut by a transversal and form a pair of alternate exterior angles. One angle measures (6x+5) and other me
    15·2 answers
  • What is 6 feet to 49 inches
    15·2 answers
  • Find the area and circumference of the figure below.
    12·1 answer
  • the sum of three consecutive odd integers is equal to 15 more than twice the middle integer what are the three integers
    11·1 answer
  • Which expression shows the result of applying distributive property to 12 (5y+4)
    6·1 answer
  • At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $55 per mo
    15·1 answer
  • What’s the volume of the cylinder i need help<br> please !!!
    7·1 answer
  • 43.87 + what = 58.92
    13·2 answers
  • Please help a girl out I'm so confused
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!