Use derivative procedures to find the following: a) Find dy dx by implicit differentiation: x3 + 2y² = 10x. Find the equation of the tangent line at the point (2,1). b) Find the equation of the line tangent to f (x) = 2x² – 3 at the point (2,5).

Use derivative procedures to find the following: a) Find dy dx by implicit differentiation: x3 + 2y² = 10x. Find the equation of the tangent line at the point (2,1). b) Find the equation of the line tangent to f (x) = 2x² – 3 at the point (2,5).

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.

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Question

Use derivative procedures to find the following:
a) Find dy
dx
by implicit differentiation: x3 + 2y²
= 10x. Find the equation of the
tangent line at the point (2,1).
b) Find the equation of the line tangent to f (x) = 2x² – 3 at the point (2,5).

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