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]
3 years ago
7

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

Mathematics
1 answer:
ivolga24 [154]3 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
A bag contains white marbles and red marbles, 20 in total. The number of white marbles is 5 more than 2 times the number of red
Nitella [24]

Answer:

15

Step-by-step explanation:

let r represent red marbles then white = 2r + 5 and total is 20, thus

r + 2r + 5 = 20 ( subtract 5 from both sides )

3r = 15 ( divide both sides by 3 )

r = 5 ← number of red marbles

Thus number of white = 20 - 5 = 15

7 0
3 years ago
How to do all this question ?
prisoha [69]

Answer:

a) 3,6,9,12,15,18,21,24

b) 8,16,24,32,48,56,64,72


a) 16

b) 48

c) 24

d) 36

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Write 171 : 3 as a unit rate
kolezko [41]
Divide 171 by 3. then you have a unit rate of 57 miles per hour.
5 0
3 years ago
Help on this this is the last one promise!!
tankabanditka [31]

6) check picture

a) all three lines are parellel and have the same slope. the only difference is that they are translated on different points on the x-axis.

not sure about the rest sorry :(

6 0
3 years ago
Read 2 more answers
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits t
creativ13 [48]

Answer:

b

Step-by-step explanation:

hope this helps

8 0
3 years ago
Read 2 more answers
Other questions:
  • The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is th
    7·1 answer
  • a manufacturer can produce a color pen at a cost of $3. the color pens have been selling for $5 per pen and at this price, consu
    15·1 answer
  • Find the like terms in the expression y+1.2y+ 1.2z.
    12·1 answer
  • Which of the following statements is true about a graph that is perfectly symmetric, such as the one above?
    6·2 answers
  • Which figure shows △MNP reflected over the y-axis to form △M`N`P`?
    12·1 answer
  • Asap...........
    14·1 answer
  • Girardo is using the model below to solve the equation 3x+1=4x+(-4)​
    11·2 answers
  • Meagan is buying a large box from the post office to send a birthday gift to her grandmother in Enid, Oklahoma. The dimensions o
    14·2 answers
  • For triangle ABC with sides a,b and c the law of cosines states
    13·1 answer
  • Question attached below
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!