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
Makovka662 [10]
2 years ago
7

5. Find dy/dx of of the followingthe following functionsy²= 4ax​

Mathematics
1 answer:
ivolga24 [154]2 years ago
8 0

Answer:

A general rule for functions of the general form:

y = A*x^n

is:

dy/dx =  n*A*x^(n - 1)

Then, for the function:

y^2 = 4*a*x

Then we can rewrite this as:

y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)

Then we have:

A = √(4*a)

n = 1/2

Now we can use the above rule to get

dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)

dy/dx = (1/2)*√(4*a)*x^(-1/2)

dy/dx = (1/2)*√(4*a/x)

dy/dx = √(1/4)*√(4*a/x)

dy/dx = √( (1/4)*4*a/x)

dy/dx = √(a/x)

You might be interested in
in the diagram, AE is tangent to the circle at point a and secant DE intersects the circle at point C and D. the iines intersect
AlexFokin [52]
Recall the secant-tangent theorem, and you have
EA^2 = EC*CD
12^2 = 8*(x+10)
and now ED = EC+CD = 8+x+10

I suspect a typo somewhere in the murk above
8 0
1 year ago
A High School booster club sets up an academic scholarship that is awarded to one student each year. The formula y=2700x can be
djyliett [7]

Answer:

$32,400

Step-by-step explanation:

We can just replace 12 for x in the equation y = 2700x

y = 2700x

y = 2700(12)

y = 32,400

The money paid after 12 years is $32,400

-Chetan K

4 0
2 years ago
Read 2 more answers
Guys Help me <br><br> Does (4, 7) make the equation y = 2x + 7 true?
natka813 [3]

Answer:

false

Step-by-step explanation:

x=4andy=7

2×4+7 isnot equal to 7

3 0
2 years ago
Read 2 more answers
Value of ratio 3/4 to 2
MrMuchimi

Answer:

3/8 or 0.375

Step-by-step explanation:

0.75/2 = 3/8

4 0
3 years ago
Why might a person need an emergency fund?
neonofarm [45]
Why An Emergency Fund<span> Is Important. People who've had large and unforeseen expenses arise can probably either tell you how happy they were that they had</span>emergency fund<span>s, or how difficult it was to find the money to cover expenses.</span>
4 0
3 years ago
Other questions:
  • This is worth 20 points please help now it is an emergency. Please do 1 through 10
    14·1 answer
  • If f(x) = 4x and g(x) = 2x – 1, what is g(f(–2))?<br><br> A-17<br> B-13<br> C-8<br> D-5
    9·1 answer
  • Equations, Their Slopes And Y-intercepts. Please 9,11 and 12 question! Thank you!)
    10·2 answers
  • Find the circumference of the following
    12·1 answer
  • This is urgent, please answer!
    6·1 answer
  • There are
    6·2 answers
  • A room is 15 feet long and 12 feet wide. What are the length and width of the room in yards?
    12·1 answer
  • Segments AB and CD coincide.
    5·2 answers
  • Multiply: <br>(2sin B+cos B)by 3cosec B.secB​
    11·1 answer
  • There are 10 girls in the class. This is three less thank half the number of boys . How many boys are in the class?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!