Implicit Differentiation Circle Triplets

CIRCLE IMPLICIT EQUATION

$$x^2+y^2=256$$

Slope of Tangent $$\rightarrow\ \frac{dy}{dx}=EXP$$

Submit $$EXP$$ (implicit form)

CIRCLE $$x^2+y^2=144$$

In which Quadrants is the slope of the local tangent positive?

CIRCLE $$x^2+y^2=144$$

In which Quadrants is the slope of the local tangent negative?

Circle $$x^2+y^2=25$$

Match each point with the slope of the local tangent at that point.

Circle $$x^2+y^2=289$$

Match each point with the slope of the local tangent at that point.

CIRCLE IMPLICIT FORM (slide 1 of 2)

$$x^2+y^2=C$$

Point on the Circle $$P\left(60,-\ 11\right)$$

Slope of the Tangent $$\rightarrow\ SLOPE$$

Submit $$C$$

CIRCLE IMPLICIT FORM (slide 2 of 2)

$$x^2+y^2=C$$

Point on the Circle $$P\left(60,-\ 11\right)$$

Slope of the Tangent $$\rightarrow\ SLOPE$$

Submit $$SLOPE$$

CIRCLE IMPLICIT FORM (slide 1 of 2)

$$x^2+y^2=C$$

Point on the Circle $$P\left(-\ 17,-\ 144\right)$$

Slope of the Tangent $$\rightarrow\ SLOPE$$

Submit $$C$$

CIRCLE IMPLICIT FORM (slide 2 of 2)

$$x^2+y^2=C$$

Point on the Circle $$P\left(-\ 17,-\ 144\right)$$

Slope of the Tangent $$\rightarrow\ SLOPE$$

Submit $$C$$