Find an equation of the tangent line to the graph of the function                    y = esinh x, at the given point (0, 1).

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 an equation of the tangent line to the graph of the function                    y = esinh x, at the given point (0, 1).

Expert Solution
Given,

Calculus homework question answer, step 1, image 1

Slope of the tangent line is the derivative of the given curve at the given point.

So differentiating given equation with respect to x, we get

Calculus homework question answer, step 1, image 2

Now slope of the tangent line at (0, 1) is,

Calculus homework question answer, step 1, image 3

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