007A Sample Midterm 3, Problem 4

Consider the circle  $x^{2}+y^{2}=25.$

(a)  Find  ${\frac {dy}{dx}}.$

(b)  Find the equation of the tangent line at the point  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (4,-3).}

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