iven y = at / bt²+ct 31 find dy/dt where a, b, and c are constants. Find the slope of the tangent line to the curve x²y + y - 2x = 1 at the point (0, 1) using implicit differentiation and determine the equations of the tangent line and normal line to the curve at that point.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question

Given y = at / bt²+ct 31 find dy/dt where a, b, and c are constants.

Find the slope of the tangent line to the curve x²y + y - 2x = 1 at the point (0, 1) using implicit differentiation and determine the equations of the tangent line and normal line to the curve at that point.

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