Find all the second order partial derivatives of g (x, y) = x Superscript 4 Baseline y + 3 sine (y) + 5 y cosine (x)

Step-by-step explanation:

Given the function

before we can get its second order partial derivative, we need to get its first order first. The first order are δg/δx and δg/δy

δg/δx  

δg/δy =

The second derivatives are δ²g/δy²,  δ²g/δx², δ²g/ δyδx or δ²g/ δxδy

δ²g/δy² =  δ/δy (δg/δy) = δ/δy()  

δ²g/δy² = -3siny

Similarly δ²g/δx² =  δ/δx (δg/δx) = δ/δx()

δ²g/δx² = 12x²y-5ycosx

δ²g/ δyδx =   δ/δy (δg/δx) =   δ/δy ()

δ²g/ δyδx  = 4x³ - 5sinx = δ²g/ δxδy ( for continuous function)

135 is your answer

step-by-step explanation:

try 180 times three then divide that number by 4 (sides) to get your answer. im glad to : )

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.