All categories

2 years ago

Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx

Mathematics

1 answer:

geniusboy [140]2 years ago

3 0

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay

Hence the value of the differential with respect to x is -xy/x²+ay

Learn more on implicit differentiation here: brainly.com/question/25081524

#SPJ1

You might be interested in

4 square feet is equivalent to how many square yards?

s2008m [1.1K]

Answer:

4 square feet = 0.444444444 square yards

Step-by-step explanation:

5 0

3 years ago

Fresh produce is delivered to a restaurant every four days. Every 6 days, the restaurant receives a delivery of a dried and cann

trapecia [35]

Answer:

Step-by-step explanation:

4,8,12

6,12

They both have 12 in common

3 0

3 years ago

80% of what number is 190

Degger [83]

80% of 190 = 152
THE ANSWER IS 152

6 0

3 years ago

Read 2 more answers

Find local maximum minimum and saddle points f(x,y)=xy-2x-x^2

saveliy_v [14]

To find such critical points, you have to differentiate the function and let the derivative equal zero. Since this function is y written in terms of x, but implicitly, you must use implicit differentiation. Do you know how to do that?

3 0

4 years ago

Nielsen ratings are based on televisions in 50005000 households. Nielsen estimates that 12 comma 00012,000 people live in these

avanturin [10]

Answer:

We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%

Step-by-step explanation:

-From the given information, $\hat p=0.65$ .

-We calculate the confidence interval using this value at 95% confidence level:

$CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]$

So, the 95% confidence interval is (0.6515,0.6585).

Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.

6 0

3 years ago