Exercise
Find the differential of the function
h=x^3y^2+1
Final Answer
Solution
We will find the function differential with the differential formula
dh=h'_x dx+h'_y dy
In the formula above we see the function partial derivatives. Hence, we calculate them.
h'_x(x,y)=3x^2y^2
h'_y(x,y)=2yx^3
Now, we put the derivatives in the formula and get
dh=h'_x dx+h'_y dy
dh=3x^2y^2dx+2yx^3dy
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