Question

Please solve and I will leave an upvote. Let f(x, y) = √(a x^2 y^2 + b y). Compute f_x(c, d) for the following values: a=3, b=3, c=2, d=5. Round your answer to two decimal places.

Answer 1

The derivative f_x(c, d) of the given function f(x, y) = √(a x^2 y^2 + b y) at the point (c, d) is 5√3.

Step-by-step explanation:

To compute fx(c, d) for the given function f(x, y) = √(a x^2 y^2 + b y), we need to find the partial derivative of f with respect to x at the point (c, d). Here, a = 3, b = 3, c = 2, and d = 5. Let's calculate it step by step:

fx(x, y) = √(ay^2) = y√a

fx(c, d) = d√a = 5√3