Use implicit differentiation to find the negative slope of a tangent to the circle x^2+y^2=16 at x=-2

slope = -

Step-by-step explanation:

Differentiating implicitly with respect to x

2x + 2y = 0

2y = - 2x

= - = -

is the measure of the slope of the tangent

rearrange equation to find corresponding y-coordinate of x = - 2

y² = 16 - 4 = 12 = 2 ⇒ y = ± 2

using x = - 2, y = - 2, then

= - = -

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step-by-step explanation:

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