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
Aleks [24]
2 years ago
14

Find the derivative of the given function at the indicated point.

Mathematics
2 answers:
morpeh [17]2 years ago
4 0
We're differentiating implicitly which means we're not going to find an explicit function y(x) before differentiating.

Simply power rule each term and don't forget to chain on the y. Since it's not x, we end up with this extra derivative thing y'.

\rm 3x^2+2y^2=10
\rm 6x+4yy'=0

Plug in x and y,

\rm 6(1)+4\sqrt{3.5}~y'=0

and solve for y',

\rm y'(x)=\dfrac{-6}{4\sqrt{3.5}}

Hope that helps.
Troyanec [42]2 years ago
3 0
3x^2 + 2y^2=10

d/d(x)= 6x+4y=0

Substitute x coordinate x=1

6(1)+4y'=0
6=-4y'
6/-4=y'
y'= -3/2

therefore the derivative of the function at x=1 is -1.5 or -3/2
You might be interested in
Which equation is represented by the graph below?
Stels [109]

Answer:

y= - 1/2 +2

Step-by-step explanation:

One, the slope is negative, so you can cross some answers out right off the bat. Other than that, the answer is not a whole because it's not that steep. If you use RISE/RUN you can tell its a -1/2. Plus, the y-intercept is 2!

i hope this helps!!

7 0
2 years ago
At a private​ school, each​ first-year student is sorted into one of four houses. If 3 students are randomly selected from 11 av
Elis [28]

\frac{3}{11}
8 0
3 years ago
What is the equation for <br> 4,2 and 9,12
CaHeK987 [17]
Y=2x-1 because (y2-y1)/(x2-x1) is 10/5 which is two. Using point slope form y-y1=m(x-x1) we find y=2x+1.
5 0
1 year ago
Subtract.
Rom4ik [11]
(2x + 2) - (3x + 11)
Remove the parentheses
2x + 2 - 3x + 11
And then combine like terms
So the answer is:
-x - 9
7 0
2 years ago
PLEASE HELPPP<br> ONG ILL GIVE YOU ALL MYPOINTS JUST HELP
vampirchik [111]
The answer is 13 hope I helped
5 0
2 years ago
Read 2 more answers
Other questions:
  • Sides $\overline{AH}$ and $\overline{CD}$ of regular octagon $ABCDEFGH$ are extended to meet at point $P$. What is the degree me
    11·2 answers
  • Find the slope and the y of y-5=0
    13·1 answer
  • Please help me solve this
    13·1 answer
  • What is a supplementary and a complimentary?
    8·2 answers
  • A. The distance between two towns P and Q is 2 km. On a
    15·1 answer
  • A cylinder that is 120 meters in diameter and 30 meters in height whats the volume​
    10·1 answer
  • Suppose y varies jointly as x and z. Find y when x = 2 and z = 11, if y = 160 when x = 3 and z = 8. Round your answer to the nea
    7·1 answer
  • Pleaseeee hELPppP correct answer
    7·1 answer
  • This is algebra 1 id appreciate it if you could help me thx!
    5·1 answer
  • What’s 3/20 of a circle
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!