Best solutions to - "Find both first partial derivatives. h(x,y)=e−(x2+y2)" - Plainmath

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Answered question

2020-10-27

Find both first partial derivatives.

h (x, y) = e^{- (x 2 + y 2)}

Answer & Explanation

Benedict

Skilled2020-10-28Added 108 answers

Step 1
The given function is

h (x, y) = e^{- (x^{2} + y^{2})}

.
To find the partial derivatives.
Solution:
The given function is

h (x, y) = e^{- (x^{2} + y^{2})}

.
Now differentiate partially above function with respect to x,

\frac{\partial h}{\partial x} = e^{- (x^{2} + y^{2})} \times (- 2 x)

= - 2 x e^{- (x^{2} + y^{2})}

Step 2
Now differentiate partially above function with respect to y,

\frac{\partial h}{\partial x} = e^{- (x^{2} + y^{2})} \times (- 2 y)

= - 2 y e^{- (x^{2} + y^{2})}

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