Question

Evaluate first order partial derivatives with respect to each variable for each of following functions involving more than one variable. a) f(x, y) = 6x^2y^2 + x b) f(a,b) = a^3b – 10a/b

Answer 1

Hi,

Explanation:

a)

`f(x,y)=6x^2y^2+x\\\\\frac{\partial{f} }{\partial{x}} =12xy^2+1\\\\\frac{\partial{f} }{\partial{y}} =12x^2y\\`

b)

`f(a,b)=a^3b-(10a)/(b) \\\\\frac{\partial{f} }{\partial{a}} =3a^2b-(10a)/(b) \\\\\frac{\partial{f} }{\partial{b}} =a^3+(a)/(b^2) \\`