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# partial derivative watch

1. Hello
I'm currently trying to solve these two problems:

1) Find the partial derivatives ∂m/∂q and ∂m/∂h of the function:

m=ln(qh-2h^2)+2e^(q-h^2+3)^4-7

Here, I know I should differentiate m with respect to q while treating h as a constant and vice versa. But I'm still stuck, and I'm not sure how to actually do it.

2) Find the partial derivative ∂z/∂x of the function:

(z+1)^3y-(zx)^2-3=x/z-ln(xyz)-5xy^2

I have tried some implicit differentiation here, but I can't really make it work out.

Please explain how to solve the two problems very explicitly. And please explain it with equations and not just words.
2. Hello guys? This is what I have done so far...:
1)

2)

Attached Images

3. (Original post by Lillery)
Hello guys? This is what I have done so far...:
1)

2)

Hey,

1. You can differentiate qh - 2h² with respect to q easily - remember, just think of h as a constant.
Differentiate (q-h²+3)^4 with respect to q by using the chain rule.

2. You are nearly there. Just partial differentiate xyz then bring the ∂z/∂x to one side so that you can take it out as a common factor (the usual thing to do for implicit differentiation)

Good luck!

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