Question: "Find the first partial derivatives of the following..."

generals336

Answered question

2021-03-23

Find the first partial derivatives of the following functions.

g (x, y) = y \sin^{- 1} \sqrt{x y}

insonsipthinye

Skilled2021-03-25Added 83 answers

Step 1
We know that first partial derivatives is given by

\frac{\partial g (x, y)}{\partial x} and \frac{\partial g (x, y)}{\partial y}

for the given function.
Here we will partial differentiate the given equation w.r.t x and y.
Step 2
According to question

g (x, y) = y \sin^{- 1} (\sqrt{x y})

Applying partial derivative rule,
First partial derivative w.r.t

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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