Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph with horizontal tangent lines.

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 of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the
graph with horizontal tangent lines.
Using the definition of derivative that incorporates the idea of limit, prove that if f and g
are differentiable, then
d
d
d
[f(x)g(x)] = f(x) [g(x)] + g(x);
[g(x)] + g(x) [f(x)]
dx
Transcribed Image Text:Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph with horizontal tangent lines. Using the definition of derivative that incorporates the idea of limit, prove that if f and g are differentiable, then d d d [f(x)g(x)] = f(x) [g(x)] + g(x); [g(x)] + g(x) [f(x)] dx
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