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    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.
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    Hello guys? This is what I have done so far...:
    1)

    2)

    Please help with the rest.
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    (Original post by Lillery)
    Hello guys? This is what I have done so far...:
    1)

    2)

    Please help with the rest.
    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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