Find the first partial derivatives of the function. f(x, y) = ax + by cx + dy

Partial differentiation means, differentiating with respect to a single variable while keeping other variables as constants in the expression.

Answer: Partially differentiating the function f(x, y) = ax + by cx + dy with respect to x and y, we get (a + bcy) and (bcx + d) respectively.

Let us go through the steps to find the partial differentiation of the given expression.

Explanation:

Given, f(x, y) = ax + by cx + dy

Partially differentiating the function w.r.t to x

d(f(x, y)) / dx = d(ax + by cx + dy) / dx

= a + bcy + 0

Partially differentiating w.r.t to y

d(f(x, y)) / dy = d(ax + by cx + dy) / dy

= 0 + bcx + d

You can also use the partial derivative calculator to compute the value of the partial derivative for a given function.

Thus, partially differentiating the function with respect to x and y, we get (a + bcy) and (bcx + d) respectively.