partial derivatives - given f (x,y) = 6x^3 + 5xy^2 + 7y^2, find:

Question

f'₁ (x,y) =

∂f(x,y)/∂y =

∂²f(x,y)/∂x∂y =

Answer 1

f (x,y) = 6x^3 + 5xy^2 + 7y^2

∂f(x,y)/∂y = 10 xy +14y

∂²f(x,y)/∂x∂y = 10y

Complete differentiali calculated as:

df= ∂f(x,y)/∂x dx+∂f(x,y)/∂y dy