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Partial Derivitives

  • #1

Homework Statement



I need to find the partial derivitives of f(x,y,z)=50-14x+3y^2-2xy (e^z)

Homework Equations





The Attempt at a Solution


i think the x-partial would be -14+2ye^z+2xye^z... but i'm not sure and i'm confused of how to find the others!

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
f(x,y,z)=50-14x+3y2-2xyez

simply when taking the partial derivative w.r.t. to a variable, you treat the rest as constants.

so for ∂f/∂x, we would treat y and z as constants and differentiate normally.

∂f/∂x=∂/∂x(50)-∂/∂x(14x)+∂/∂x(3y2)-∂/∂x(2xyez)


How did you get your answer though?


So for ∂f/∂z, treat x and y as constants. It is similar for ∂f/∂y.
 

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