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
nlexa [21]
2 years ago
5

How is the derivative of a function related to the slop of the function?

Mathematics
1 answer:
statuscvo [17]2 years ago
7 0

Hi there!

The derivative of the function is the slope of the function at a specific x-value, or its instantaneous rate of change.

For example, take the equation y = x².

Using the power rule, we get:

y' = 2x

If we plug in any x-value into this equation, we can find the slope of the function at any point.

Ex:

x = 0; 2(0) = slope of 0

x = 2; 2(2) = slope of 4

You might be interested in
parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF
Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1-    ∠FTS ≅ ∠PTQ            ( ∵ These two are vertical angles)

2-   ∠TFS ≅ ∠TPQ            ( ∵ These two are alternate interior angles)

3-   ∠TSF ≅ ∠TQP            ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}

\Rightarrow \frac{8}{5} =\frac{10-x}{x}

\Rightarrow x=3.85

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm




5 0
3 years ago
A camera has a listed price of $800.95 before tax. If the sales tax rate is 8.25%, find the total cost of the camera with sales
maria [59]

Answer:

$867.03

Step-by-step explanation:

6 0
2 years ago
Some online banks offer "online bill pay."What does this mean?
sleet_krkn [62]
It means that you can pay your utility bill for example using internet banking.

5 0
3 years ago
mrs Singh bought 9 folders 9 notebooks. The cost of each folder is $2.50 and the cost of each notebook is $4 write two equivalen
lana66690 [7]
First you add250+250 then you add 9+9 or you could do250×9 2 times then add them together . never mind just do 250×9 2times and that will eqaul 2,250 then add 2250+ 2250and you got the answer and the answer is 4500
5 0
3 years ago
Read 2 more answers
Find surface area of this regular pyramid
liq [111]

Answer:

189 ft²

Step-by-step explanation:

Here is the formula...

1/2 * 6 * 36 + 81

Hope this helps

7 0
2 years ago
Other questions:
  • ms. bastian and ms.brown are trying to get the most step in this week. ms.bastian walks 11219 steps in 12 hours. ms.brown walks
    5·1 answer
  • Which point represents the vertex of the marked angle.
    5·2 answers
  • What is the area of this
    12·1 answer
  • PLZZZZZZZZZZZZZZZZ HELP ME i begging YOUUUUU !!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • Find the missing side lengths
    10·1 answer
  • . A 1000-gallon tank initially contains a mixture of 450 gallons of cola and 50 gallons of cherry syrup. Cola is added at the ra
    7·1 answer
  • A freezer can be bought on hire purchase by making a deposit of 15% of the cash price which is $2 975.
    14·1 answer
  • Enter the polynomial in standard form. Then enter the leading coefficient
    15·1 answer
  • 1,5,9,13 generalize the pattern by finding the nth term
    15·1 answer
  • What force is needed to accelerate a 2-kg mass at 1 m/sec/sec
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!