Find the four second partial derivatives of the following functions. h(x,y)=x^{3}+xy^{2}+1

shadsiei

shadsiei

Answered question

2021-06-04

Find the four second partial derivatives of the following functions.
h(x,y)=x3+xy2+1

Answer & Explanation

Khribechy

Khribechy

Skilled2021-06-05Added 100 answers

Step 1
Given information:
h(x,y)=x3+xy2+1
Step 2
First find the partial derivative of the given function,
hx=x(x3+xy2+1)
=3x2+y2+0
=3x2+y2
Now find the required double partial derivative of given function,
2hx2=x(3x2+y2)
=6x+0+0
=6x
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

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