For each of the following functions, calculate the first- and second-order partial derivatives. Check whether the xy and yx partial derivatives are equal or not. (a) f(x,y)=2x/y+3x/y; (b) g(x,y)=square root of (x^2 +y^2) (c) h(x,y) = e^sin(x−y) (d) i(x, y) = log(x^2 + y^2)

Q: U(x,y)=(x+2)^2(y+3)^3 Find the partial derivative of x and y

A: U(x,y)= (x+2)2(y+3)3We have to find partial derivative of x and y

Q: 6. Use implicit differentiation to find first order partial derivatives: tan-(x²y) = y²z3 +…

A:

Q: Find all of the first partial derivatives: f(x,y) = y³sin(x) + x²tan(y)

A:

Q: f(x, y) = ex + tan(x + y2).

A: