Question

Find the all first order and second order partial derivatives (a) sin xy (b) 1 by 1 + xy

Answer 1

Answer:

f(x, y) = x^2 y^3f(x,y)=x

Step-by-step explanation:

Consider a function with a two-dimensional input, such as

f(x, y) = x^2 y^3f(x,y)=x

2

y

3

f, left parenthesis, x, comma, y, right parenthesis, equals, x, squared, y, cubed.

Its partial derivatives \dfrac{\partial f}{\partial x}

∂x

∂f

start fraction, \partial, f, divided by, \partial, x, end fraction and \dfrac{\partial f}{\partial y}

∂y

∂f