If G(x)= 20+xy and dG/dx= 20+2y, what is dy/dx? (Hint: implicit differentiation).

 

If G(x) = 20 + xy and dG/dx= 20+2y, what is dy/dx?

• Differentiating G(x) through implicit differentiation:
• Then substituting dG/dx to the equation:
• And then isolating dy/dx,
• The answer is: dy/dx = (20 + y)/x

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