We have an answer to "Given f(x,y)=5x3−6x2y−2y2+3x+7y−15. Find each of the indicated partial..." - Plainmath

UkusakazaL

Answered question

2021-09-19

Given

f (x, y) = 5 x^{3} - 6 x^{2} y - 2 y^{2} + 3 x + 7 y - 15

. Find each of the indicated partial derivatives:
a.

f_{x} (x, y) =

b.

f_{y} (x, y) =

Answer & Explanation

aprovard

Skilled2021-09-20Added 94 answers

Step 1
Explanation and solutions is given below....
Step 2
Given

f (x, y) = 5 x^{3} - 6 x^{2} y - 2 y^{2} + 3 x + 7 y - 15

a) Differentiate f(x,y) with respect to x

f_{x} (x, y) = \frac{d}{d x} (5 x^{3} - 6 x^{2} y - 2 y^{2} + 3 x + 7 y - 15)

f_{x} (x, y) = 15 x^{2} - 12 x y + 3

b) Differentiate f(x,y) with respect to y

f_{y} (x, y) = \frac{d}{d y} (5 x^{2} - 6 x^{2} y - 2 y^{2} + 3 x + 7 y - 15)

f_{y} (x, y) = - 6 x^{2} - 4 y + 7

Jeffrey Jordon

Expert2022-02-01Added 2605 answers

Answer is given below (on video)

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