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Find the equation of the tangent line to the curve defined by the parametric equations x(t) = t3 + 3t, y(t) = 3t² - 3, when t = 1 (show all necessary details)

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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Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

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Find the equation of the tangent line to the
curve defined by the parametric equations
x(t) = t3 + 3t, y(t) = 3t2 - 3, when t = 1
%3D
(show all necessary details)

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