Answered: The second derivative of a curve C at…

The second derivative of a curve C at any point is d2y/dx2 = sec2x tan x. If 2 is the slope of the tangent line to the graph of C at the point (0, −3), find the equation of the curve.

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

The second derivative of a curve C at any point is d²y/dx²= sec²x tan x. If 2 is the slope of the tangent line to the graph of C at the point (0, −3), find the equation of the curve.

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