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
mariarad [96]
2 years ago
13

Is it true that: If f"(c) > 0, then the slope of

Mathematics
1 answer:
zheka24 [161]2 years ago
3 0

Answer:

yes

Step-by-step explanation:

the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.

the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).

so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.

but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.

there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).

but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.

You might be interested in
Samantha has 54 beads. Amanda has twice as many beads as Samantha. They are making bracelets it takes 8 beads to make a bracelet
wlad13 [49]

Answer:

On combining the beads they can make 20 bracelets.

Step-by-step explanation:

The number of beads Samantha has  =  54 beads

Number of beads Amanda has = 2 x( Number of beads Samantha has)

=  2  x 54  =  108 beads

The total number of beads Amanda and Samantha has  

=   54 beads + 108 beads

= 162 beads

Number of beads required to make 1 bracelet  =  8 beads

Now, \textrm{The number of bracelets made}  = \frac{\textrm{Total number of beads they both have}}{\textrm{Beads required to make 1 bracelet}}

=\frac{162}{8}  = 20.25≈  20

or, the total number of bracelets they can make is 20.

Hence, on combining the beads they can make 20 bracelets .

8 0
2 years ago
427 thousand as a scientic notation ​
Lerok [7]

Answer:

427,000 = 4.27 * 10^{5}

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Answer for<br> -4 (-x + 2) = 2 (3x - 7)
Lana71 [14]

Step-by-step explanation:

-4 (-x + 2) = 2 (3x - 7)

2x-4=3x-7

x=3

5 0
3 years ago
Read 2 more answers
At a popular rock-climbing site in Yosemite National Park, a randomly selected
katrin [286]

Answer:

please be more specific

Step-by-step explanation:

6 0
2 years ago
Ill give a brainliest <br> i need help its due today
aliya0001 [1]

Answer:

w=15

Step-by-step explanation:

-24=-3w+21

We move all terms to the left:

-24-(-3w+21)=0

We get rid of parentheses

3w-21-24=0

We add all the numbers together, and all the variables

3w-45=0

We move all terms containing w to the left, all other terms to the right

3w=45

w=45/3

w=15

8 0
3 years ago
Read 2 more answers
Other questions:
  • In the figure, ABCD is a square centered at the origin with side length 2a. What are the coordinates of the​ vertices? 
    12·1 answer
  • The perimeter of a square is given as 8x + 20 write two different expressions for the perimeter use factoring to write one of th
    12·1 answer
  • Solve for x: 3x - 5 = 2x + 6​
    12·2 answers
  • What is the perimeter in units uvwxyz
    9·1 answer
  • Maria Rolled a Marble 13ft teds Marble rolled 42 ft what is the difference in length of the marbles Roll by Maria and Ted?
    7·1 answer
  • Write the equation that describes that function. Express slope intercept form. IM BEGGING FOR HELP PLEASE
    6·1 answer
  • What is 23.41 rounded to the nearest integer<br><br> i am losr
    11·2 answers
  • Help on this one plsssssss its 54 more secs
    5·1 answer
  • Please help. I got the 12 part can’t can’t seem to simplify the fraction bit.
    11·1 answer
  • Translate the triangle.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!