Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y)=2x² − 3y – 4 2) f(x,y)=(r-1\y+2) 3) f(x, y) = (xy − 1)² -

Q: Given F(r, s, t) = -r(58³ + 7tº), compute: Frst

A: Frst is a third order partial, where we differentiate first with respect to r, then with respect to…

Q: The total derivative of the function ƒ(x,y) =2x²y– xy is df = (2x² – x)dx +(4xy – y)dy b. df = (4x –…

A: df  = (df(x,y)/dx)dx + (df(x,y)/dy)dy f(x,y) = 2x^2y - xy df(x,y)/dx = 4xy - y df(x,y)/dy = 2x^2 - x

Q: 5y4 2) Let f(x, y) = x sin(2y) + . Find fyyyyyyyyyy (x, y) (10 partial derivatives), x explaining…

A:

Q: ³ + 2x + 2y 23 2

A:

Q: 2) Let f(x, y) = x sin(2y) + 5y¹. Find fyyyyyyyyyy (x, y) (10 partial derivatives), explaining how…

A: Here the given function is f(x,y)=xsin(2y)+5y4x. We have to find the 10 times partial derivative of…

Q: (b) Find all first and second partial derivatives of z = x² In(x² + xy).

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the value of at the point (1, 3, 1) if the equation 6xz + ylnx – 5x² – 1 = 0 defines x as a…

A: Given equation is, where x is a function of two independent variables y and z and the partial…