# Math Help - Partial Differentiation

1. ## Partial Differentiation

If f(x,y,z) = f(x,y) g(y) h(z), find Fxyz

The question is regarding partial differentiation. I tried doing it and managed to obtain fxgyhz.

Is this the way to simplify the answer ?

Thanks.

2. Hmm. I don't think you've managed to take the y derivative properly. You have two functions of y multiplied together, so you'll have to use the product rule.

3. Would I get the following:

Fx = fx(x,y) g(y) h (z)
Fxy = [fx(x,y) gy + fxy(x,y) g(y)]h(z)
Fxyz = [fx(x,y) gy + fxy(x,y) g(y)]hz

4. That looks good to me!