Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Determine y′′ for
x2 + y 4 = 10
Solution: We know that to get the second derivative we required the first derivative and to get that we'll have to do implicit differentiation. Following is the work for that.
2x + 4 y3 y′ = 0
y′ = - x /2 y3
Now, it is the first derivative. We obtain second derivative by differentiating this that will require implicit differentiation again.
y′′ = ( -x ′ /2 y3 )
= - 2 y3 - x (6 y 2 y′) / (2 y3 )2
= -(2 y3 - 6xy 2 y′) /4 y6
= - y - 3xy′ /2 y 4
It is fine in so far as it goes. Though, we would like there to be no derivatives in the answer.
Generally, we don't mind having x's and/or y's in the answer while doing implicit differentiation, however we actually don't like derivatives in the answer. However, we can get rid of the derivative through acknowledging that we know what the first derivative is and substituting it into the second derivative equation. By doing this gives,
y′′ = - ((y - 3xy′) /2 y 3))
= y - 3x ( -x/2y3) /2 y 4
= y + (3 /2)x2 y -3 /2 y 4
The F Distribution The F distribution is the distribution of the ratio of 2 random variables. Both random variables have yet another distribution, called the c 2 Distri
If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.
Example Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .
How will the decimal point move when 245.398 is multiplied by 100? It is moved two places to the right. While multiplying by multiples of 10, the decimal point is moved to the
Measures Of Skewness - These are numerical values such assist in evaluating the degree of deviation of a frequency distribution from the general distribution. - Given are t
which physics law is used to describe heat loss in cylindrical pipe
Connecticut state sales tax is 6%. Lucy purchases a picture frame in which costs $10.50 What is the Connecticut sales tax on this item? Find out 6% of $10.50 by multiplying $10
7=1w-4 answer is 1/11 need help doing the math
how is it done
Tests for relative minimum For a relative minimum point there are two tests: i.The first derivative, which is (dy)/(dx) = f´(x) = 0 ii.The second derivative, which i
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd