1. Suppose f ( x , y ) = a ⋅ x r y s + b ⋅ x m y n + c

Where a = 2, r = 4, s = 3, b = 17, m = 2, n = 3, and c = 62

So, using carrots (^) for exponents...

f(x, y) = 2(x^4)(y^3) + 17(x^2)(y^3) + c

What is the value of d f ( x , y ) d xwhen x = 4 and y = 2?

(The answer might be a very big number)

2.

Suppose f ( x , y ) = a ⋅ x r y s + b ⋅ x m y n + c

Where a = 19, r = 2, s = 5, b = 15, m = 3, n = 4, and c = 49

So, using carrots (^) for exponents...

f(x, y) = 19(x^2)(y^5) + 15(x^3)(y^4) + c

What is the value of d f ( x , y ) d ywhen x = 1 and y = 3?