Step by step solution to "Partial derivatives of u=x3y6z9 divided by 3" - Plainmath

ossidianaZ

Answered question

2021-10-16

Partial derivatives of

u = x^{3} y^{6} z^{9}

divided by 3

Answer & Explanation

okomgcae

Skilled2021-10-17Added 93 answers

Step 1

u = \frac{x^{3} y^{6} z^{9}}{3}

Then Partial derivatives are

\frac{\partial u}{\partial x} = \frac{3 x^{2} y^{6} z^{9}}{3} = x^{2} y^{6} z^{9}

\frac{\partial u}{\partial y} = \frac{6 x^{3} y^{5} z^{9}}{3} = 2 x^{3} y^{5} z^{9}

\frac{\partial u}{\partial z} = \frac{9 x^{3} y^{6} z^{8}}{3} = 3 x^{3} y^{6} z^{8}

Step 2
Answer is given in above part

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