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# find the derivative? watch

1. Hello

How do I solve this?

Find the derivative dy/dx of/for the following function:

axy^b+ln(axy)=(ay+bx)^b+c, where a, b, and c are constants
2. (Original post by Lillery)
Hello

How do I solve this?

Find the derivative dy/dx of/for the following function:

axy^b+ln(axy)=(ay+bx)^b+c, where a, b, and c are constants
if A level implicit differentiation wrt x

if higher level move things to one side and define function φ(x,y)

then dy/dx = - ∂φ/∂x over ∂φ/∂y
3. (Original post by Lillery)
Hello

How do I solve this?

Find the derivative dy/dx of/for the following function:

axy^b+ln(axy)=(ay+bx)^b+c, where a, b, and c are constants
First, differentiate each term:

differentiates to by the product rule.

differentiates to by the chain and product rules.

differentiates to by the chain rule.

differentiates to 0, since it is a constant.

This gives you the equation:

From here, rearrange to get on one side of the equation.
4. Thank you guys!

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