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
Dmitriy789 [7]
3 years ago
15

Find lim ?x approaches 0 f(x+?x)-f(x)/?x where f(x) = 4x-3

Mathematics
1 answer:
Whitepunk [10]3 years ago
7 0

If f(x)=4x-3:

\displaystyle\lim_{\Delta x\to0}\frac{(4(x+\Delta x)-3)-(4x-3)}{\Delta x}=\lim_{\Delta x\to0}\frac{4\Delta x}{\Delta x}=4

If f(x)=4x^{-3}:

\displaystyle\lim_{\Delta x\to0}\frac{\frac4{(x+\Delta x)^3}-\frac4{x^3}}{\Delta x}=\lim_{\Delta x\to0}\frac{\frac{4x^3-4(x+\Delta x)^3}{x^3(x+\Delta x)^3}}{\Delta x}

\displaystyle=\lim_{\Delta x\to0}\frac{4x^3-4(x^3+3x^2\Delta x+3x(\Delta x)^2+(\Delta x)^3)}{x^3\Delta x(x+\Delta x)^3}

\displaystyle=\lim_{\Delta x\to0}\frac{-12x^2\Delta x-12x(\Delta x)^2-4(\Delta x)^3}{x^3\Delta x(x+\Delta x)^3}=-\frac{12}{x^4}

You might be interested in
(18 POINTS) SHOW WORK!!!
Lady bird [3.3K]
Tan(58)=10/x
x=10/tan(58)
x= 6.2
3 0
3 years ago
Read 2 more answers
PLS HELP ME ASAP WITH 11!! (MUST SHOW WORK!!) + LOTS OF POINTS!! *best if u sent picture with work SHOWN!!* - will give brainlie
sammy [17]
She can travel 12 miles
5 0
3 years ago
Read 2 more answers
14. Which of the following is the graph of y = (x - 1)² +1?
telo118 [61]

Answer:

It's C; you did it right.

6 0
1 year ago
Read 2 more answers
One fifth of a number n is equal -7 write equation and <br> true false or open sentence
Otrada [13]
One fifth of a number n is equal -7 as an equation would look like this:

1/5 n = -7          / * 5 (both sides)
n = -35

So if number n equals -35, then it's true that 1/5n equals -7.
4 0
3 years ago
Read 2 more answers
Need help asap<br> will give brainly
ra1l [238]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • What number has the same value as 50 tens
    5·2 answers
  • What is the value of the expression shown below if x = 3, y = 6, and z =<br> 4?<br> x² + 3yz
    15·1 answer
  • What’s 6,735,834 in expanded form and word form
    9·1 answer
  • Elena's daughter sold 84 boxes of girl scout cookies. she was told that this amount represented 5% of the troop's sales. How man
    11·1 answer
  • X²+6x+8=<br> por favor es para mañana
    6·2 answers
  • How do you explain this?
    7·1 answer
  • In the given right triangle, find the miss length.
    13·2 answers
  • Alyssa plans to spend AT MOST $230.00 on a new wardrobe. The skirts x
    15·1 answer
  • What is the decay factor that corresponds to a 10% decrease?
    8·1 answer
  • Slope Quiz<br> ...........................................................
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!