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
Setler [38]
3 years ago
7

Calculus question?

Mathematics
1 answer:
Ann [662]3 years ago
5 0
Remark
If you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)

Step One
Divide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2   Now differentiate that. It should be much easier.

Step Two
Differentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x  I wonder if there's anything else you can do to this. If there is, I don't see it.

I suppose this is possible.
y' = 3/x^(1/2) + 6x

y' = \frac{3 + 6x^{3/2}}{x^{1/2}}

Frankly I like the first answer better, but you have a choice of both.
You might be interested in
Okkkkkkk jjjjjjjjhhhhh
JulsSmile [24]
Okkkkkkkkkkkkkkkkkkkkkkkkkkk
5 0
3 years ago
Which equation shows the quadratic formula used correctly to solve 7x2 = 9+ x for x?
____ [38]

Answer:

x = (1 + sqrt(253))/14 or x = (1 - sqrt(253))/14

Step-by-step explanation:

Solve for x:

7 x^2 = x + 9

Subtract x + 9 from both sides:

7 x^2 - x - 9 = 0

x = (1 ± sqrt((-1)^2 - 4×7 (-9)))/(2×7) = (1 ± sqrt(1 + 252))/14 = (1 ± sqrt(253))/14:

Answer: x = (1 + sqrt(253))/14 or x = (1 - sqrt(253))/14

6 0
3 years ago
Read 2 more answers
Pablo borrowed $900 from a credit union for 3years and was charged simple interest at a rate of 3%. What is the amount of intere
tensa zangetsu [6.8K]

Answer:81

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Suppose you invest $1,600 at an annual interest rate of 4.6% compounded continuously how much will you have in the account after
DanielleElmas [232]
Total = Principal * e^(rate*years)
where "e" is the mathematical constant 2.71828182828459
Total = 1,600 * e(.046*4)
Total = 1,600 * 2.71828182828459^(.184)
Total = 1,600 * <span> <span> <span> 1.2020158231 </span> </span> </span>
Total = <span> <span> <span> 1,923.23</span></span> </span>

Source:
http://www.1728.org/rate2.htm





8 0
3 years ago
Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she e
stiv31 [10]

Answer:

i think its art

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • What is the area of this trapezoid
    11·1 answer
  • What is the slope of a line parallel to the line whose equation is 12x+15y=225
    8·1 answer
  • Segments of DNA transfer from parent to offspring are called______
    10·1 answer
  • Solve each system by substitution <br> y=-6x-13<br> 5x+4y=-14
    13·1 answer
  • Please help, basic algebra. <br> Find the value of x
    14·1 answer
  • An engine raises 120kg of water through a height of 40m in 30s what is the power of the engine?(g=10m/s2​
    13·2 answers
  • Identify a pair of vertical angles in the figure.
    15·1 answer
  • Can I get help with number 15 am stuck
    7·1 answer
  • A soccer team is having a car wash. The team spent $50 on supplies. They earned $300, including tips. The team's profit is the a
    13·2 answers
  • Sophies mom cans jelly. She fills each jar with 1/2 a pint of jelly. If she made 1 7/10 pints of jelly, which expression can be
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!