Question: how to find the slope of a tangent line using implicit differentiation?
Answer: Take the derivative of the given function. Evaluate the derivative at the given point to find the slope of the tangent line. Plug the slope of the tangent line and the given point into the point-slope formula for the equation of a line, ( y − y 1 ) = m ( x − x 1 ) (y-y_1)=m(x-x_1) (y−y1​)=m(x−x1​), then simplify.