fbpx
calculus online - Free exercises and solutions to help you succeed!

Partial Derivative – A three variable function – Exercise 3279

Exercise 

Find the partial derivatives of the function

u(x,y,z)=x^{\frac{y}{z}}

Final Answer

u'_x (x,y,z)=\frac{y}{z}\cdot x^{\frac{y}{z}-1}

u'_y (x,y,z)=x^{\frac{y}{z}}\ln x\cdot\frac{1}{z}

u'_z (x,y,z)=x^{\frac{y}{z}}\ln x\cdot\frac{-1}{z^2}

Solution

Coming soon…

Share with Friends

Leave a Reply