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hardd/dx DerivativesĀ·25 ptsĀ·0 solved

Implicit Differentiation on a Circle

Problem Statement

GivenĀ x2+y2=25,Ā findĀ dydxĀ atĀ theĀ pointĀ (3,4)\text{Given } x^2+y^2=25, \text{ find } \frac{dy}{dx} \text{ at the point } (3,4)

Your Answer (variable: x)

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Tips

  • Use standard math syntax: ^ for powers, * for multiplication.
  • Functions: sin, cos, tan, exp, log (natural log), sqrt.
  • Constants: pi, e.
  • For antiderivatives you can omit "+ C".