AP CALCULUS · Derivatives · Advanced

Derivatives: If math and math, find math at that point.

Power rule, chain rule, tangent lines.

Try the problem

If y=xyy=x^y and (x,y)=(1,1)(x,y)=(1,1), find dy/dxdy/dx at that point.

Hint and answer

Concept to use

Implicit differentiation.

Hint

Take logarithms, then use implicit differentiation.

Answer

1

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