Find the first partial derivatives of the following functions. f(x,y)=ex^{2}y

ringearV

ringearV

Answered question

2021-02-22

Find the first partial derivatives of the following functions.
f(x,y)=ex2y

Answer & Explanation

SabadisO

SabadisO

Skilled2021-02-24Added 108 answers

Step 1
Obtain the first partial derivative of f with respect to x as shown below:
fx=x(ex2y)
=ex2yx(x2y)
=ex2y(2xy)
=2xyex2y
Step 2
Obtain the first partial derivative of f with respect to y as shown below:
fy=y(ex2y)
=ex2yy(x2y)
=ex2y(x2)
=x2ex2y
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-21Added 2605 answers

Answer is given below (on video)

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