Answered: Find the derivative. Simplify where…

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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Find the derivative. Simplify where possible.

y = x tanh ^-1x +ln ( sqrt 1 - x ²)

Expert Solution

Step 1

Given,

$y = x artanh (x) + \ln (\sqrt{1 - x^{2}}) c a n b e r e w r i t t e n a s y = \frac{\ln (1 - x^{2})}{2} + x artanh (x)$

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Find the derivative. Simplify where possible. y = x tanh -1 x +ln ( sqrt 1 - x 2 )